A fraction can be converted to an integer or a decimal. An improper fraction, the numerator of which is greater than the denominator and is divisible by it without a remainder, is converted into an integer, for example: 20/5. Divide 20 by 5 and get the number 4. If the fraction is correct, that is, the numerator is less than the denominator, then convert it to a number (decimal fraction). You can learn more about fractions from our section -.

Ways to convert a fraction to a number

• The first way to convert a fraction to a number is suitable for a fraction that can be converted to a number that is a decimal fraction. First, let's find out whether it is possible to convert a given fraction into a decimal fraction. To do this, pay attention to the denominator (the number that is under the line or to the right of the oblique). If the denominator can be decomposed into factors (in our example - 2 and 5), which can be repeated, then this fraction can really be converted into a final decimal fraction. For example: 11/40 =11/(2∙2∙2∙5). This common fraction will be converted into a number (decimal fraction) with a finite number of decimal places. But the fraction 17/60 =17/(5∙2∙2∙3) will be translated into a number with an infinite number of decimal places. That is, when accurately calculating a numerical value, it is quite difficult to determine the final sign after the decimal point, since there are an infinite number of such signs. Therefore, to solve problems, you usually need to round the value to hundredths or thousandths. Further, it is necessary to multiply both the numerator and the denominator by such a number that the denominator will have the numbers 10, 100, 1000, etc. For example: 11/40 = (11∙25)/(40∙25) =275/1000 = 0.275
• The second way to convert a fraction to a number is simpler: you need to divide the numerator by the denominator. To apply this method, we simply perform the division, and the resulting number will be the desired decimal fraction. For example, you need to convert the fraction 2/15 to a number. We divide 2 by 15. We get 0, 1333 ... - an infinite fraction. We write it down like this: 0.13(3). If the fraction is incorrect, that is, the numerator is greater than the denominator (for example, 345/100), then as a result of converting it to a number, an integer numerical value or a decimal fraction with an integer fractional part will be obtained. In our example, this will be 3.45. To convert a mixed fraction like 3 2 / 7 to a number, you must first convert it to an improper fraction: (3∙7+2)/7 =23/7. Next, we divide 23 by 7 and get the number 3.2857143, which we reduce to 3.29.

The easiest way to convert a fraction to a number is to use a calculator or other computing device. We first indicate the numerator of the fraction, then press the button with the "divide" icon and type the denominator. After pressing the "=" key, we get the desired number.

Decimal numbers such as 0.2; 1.05; 3.017 etc. as they are heard, so they are written. Zero point two, we get a fraction. One whole five hundredths, we get a fraction. Three whole seventeen thousandths, we get a fraction. The digits before the decimal point in a decimal number are the integer part of the fraction. The number after the decimal point is the numerator of the future fraction. If there is a one-digit number after the decimal point, the denominator will be 10, if it is two-digit - 100, three-digit - 1000, etc. Some of the resulting fractions can be reduced. In our examples

Converting a fraction to a decimal number

This is the reverse of the previous transformation. What is a decimal fraction? Her denominator is always 10, or 100, or 1000, or 10,000, and so on. If your usual fraction has such a denominator, there is no problem. For example, or

If a fraction, for example . In this case, you need to use the basic property of the fraction and convert the denominator to 10 or 100, or 1000 ... In our example, if we multiply the numerator and denominator by 4, we get a fraction that can be written as a decimal number 0.12.

Some fractions are easier to divide than to convert the denominator. For example,

Some fractions cannot be converted to decimal numbers!
For example,

Converting a mixed fraction to an improper

A mixed fraction, such as , is easily converted to an improper fraction. To do this, you need to multiply the integer part by the denominator (bottom) and add it to the numerator (top), leaving the denominator (bottom) unchanged. I.e

When converting a mixed fraction to an improper one, you can remember that you can use the addition of fractions

Converting an improper fraction to a mixed one (highlighting the whole part)

An improper fraction can be converted to a mixed fraction by highlighting the whole part. Consider an example, . Determine how many integer times "3" fit in "23". Or we divide 23 by 3 on the calculator, the whole number up to the decimal point is the desired one. This is "7". Next, we determine the numerator of the future fraction: we multiply the resulting "7" by the denominator "3" and subtract the result from the numerator "23". How would we find the excess that remains from the numerator "23", if we remove the maximum number of "3". The denominator is left unchanged. Everything is done, write down the result

In this article, we will analyze how converting common fractions to decimals, and also consider the reverse process - the conversion of decimal fractions to ordinary fractions. Here we will voice the rules for inverting fractions and give detailed solutions to typical examples.

Page navigation.

Converting common fractions to decimals

Let us denote the sequence in which we will deal with converting common fractions to decimals.

First, we will look at how to represent ordinary fractions with denominators 10, 100, 1000, ... as decimal fractions. This is because decimal fractions are essentially a compact form of ordinary fractions with denominators 10, 100, ....

After that, we will go further and show how to write any ordinary fraction (not only with denominators 10, 100, ...) as a decimal fraction. With this conversion of ordinary fractions, both finite decimal fractions and infinite periodic decimal fractions are obtained.

Now about everything in order.

Converting ordinary fractions with denominators 10, 100, ... to decimal fractions

Some regular fractions need "preliminary preparation" before converting to decimals. This applies to ordinary fractions, the number of digits in the numerator of which is less than the number of zeros in the denominator. For example, an ordinary fraction 2/100 must first be prepared for conversion to a decimal fraction, and a fraction 9/10 does not need to be prepared.

The “preliminary preparation” of correct ordinary fractions for conversion to decimal fractions consists in adding so many zeros to the left in the numerator so that the total number of digits there becomes equal to the number of zeros in the denominator. For example, a fraction after adding zeros will look like .

After preparing the correct ordinary fraction, you can begin to convert it to a decimal fraction.

Let's give rule for converting a proper common fraction with a denominator of 10, or 100, or 1,000, ... into a decimal fraction. It consists of three steps:

• write down 0 ;
• put a decimal point after it;
• write down the number from the numerator (together with added zeros, if we added them).

Consider the application of this rule in solving examples.

Example.

Convert the proper fraction 37/100 to decimal.

Decision.

The denominator contains the number 100, which has two zeros in its entry. The numerator contains the number 37, there are two digits in its record, therefore, this fraction does not need to be prepared for conversion to a decimal fraction.

Now we write 0, put a decimal point, and write the number 37 from the numerator, while we get the decimal fraction 0.37.

Answer:

0,37 .

To consolidate the skills of translating regular ordinary fractions with numerators 10, 100, ... into decimal fractions, we will analyze the solution of another example.

Example.

Write the proper fraction 107/10,000,000 as a decimal.

Decision.

The number of digits in the numerator is 3, and the number of zeros in the denominator is 7, so this ordinary fraction needs to be prepared for conversion to decimal. We need to add 7-3=4 zeros to the left in the numerator so that the total number of digits there becomes equal to the number of zeros in the denominator. We get .

It remains to form the desired decimal fraction. To do this, firstly, we write down 0, secondly, we put a comma, thirdly, we write down the number from the numerator together with zeros 0000107 , as a result we have a decimal fraction 0.0000107 .

Answer:

0,0000107 .

Improper common fractions do not need preparation when converting to decimal fractions. The following should be adhered to rules for converting improper common fractions with denominators 10, 100, ... to decimal fractions:

• write down the number from the numerator;
• we separate with a decimal point as many digits on the right as there are zeros in the denominator of the original fraction.

Let's analyze the application of this rule when solving an example.

Example.

Convert improper common fraction 56 888 038 009/100 000 to decimal.

Decision.

Firstly, we write down the number from the numerator 56888038009, and secondly, we separate 5 digits on the right with a decimal point, since there are 5 zeros in the denominator of the original fraction. As a result, we have a decimal fraction 568 880.38009.

Answer:

568 880,38009 .

To convert a mixed number into a decimal fraction, the denominator of the fractional part of which is the number 10, or 100, or 1,000, ..., you can convert the mixed number into an improper ordinary fraction, after which the resulting fraction can be converted into a decimal fraction. But you can also use the following the rule for converting mixed numbers with a denominator of the fractional part 10, or 100, or 1,000, ... into decimal fractions:

• if necessary, we perform “preliminary preparation” of the fractional part of the original mixed number by adding the required number of zeros on the left in the numerator;
• write down the integer part of the original mixed number;
• put a decimal point;
• we write the number from the numerator together with the added zeros.

Let's consider an example, in solving which we will perform all the necessary steps to represent a mixed number as a decimal fraction.

Example.

Convert mixed number to decimal.

Decision.

There are 4 zeros in the denominator of the fractional part, and the number 17 in the numerator, consisting of 2 digits, therefore, we need to add two zeros to the left in the numerator so that the number of characters there becomes equal to the number of zeros in the denominator. By doing this, the numerator will be 0017 .

Now we write down the integer part of the original number, that is, the number 23, put a decimal point, after which we write the number from the numerator together with the added zeros, that is, 0017, while we get the desired decimal fraction 23.0017.

Let's write down the whole solution briefly: .

Undoubtedly, it was possible to first represent the mixed number as an improper fraction, and then convert it to a decimal fraction. With this approach, the solution looks like this:

Answer:

23,0017 .

Converting ordinary fractions to finite and infinite periodic decimal fractions

Not only ordinary fractions with denominators 10, 100, ... can be converted into a decimal fraction, but ordinary fractions with other denominators. Now we will figure out how this is done.

In some cases, the original ordinary fraction is easily reduced to one of the denominators 10, or 100, or 1,000, ... (see the reduction of an ordinary fraction to a new denominator), after which it is not difficult to present the resulting fraction as a decimal fraction. For example, it is obvious that the fraction 2/5 can be reduced to a fraction with a denominator 10, for this you need to multiply the numerator and denominator by 2, which will give a fraction 4/10, which, according to the rules discussed in the previous paragraph, can be easily converted into a decimal fraction 0, 4 .

In other cases, you have to use a different way of converting an ordinary fraction into a decimal, which we will now consider.

To convert an ordinary fraction to a decimal fraction, the numerator of the fraction is divided by the denominator, the numerator is previously replaced by an equal decimal fraction with any number of zeros after the decimal point (we talked about this in the section equal and unequal decimal fractions). In this case, division is performed in the same way as division by a column of natural numbers, and a decimal point is placed in the quotient when the division of the integer part of the dividend ends. All this will become clear from the solutions of the examples given below.

Example.

Convert the common fraction 621/4 to decimal.

Decision.

We represent the number in the numerator 621 as a decimal fraction by adding a decimal point and a few zeros after it. To begin with, we will add 2 digits 0, later, if necessary, we can always add more zeros. So, we have 621.00 .

Now let's divide the number 621,000 by 4 by a column. The first three steps are no different from dividing by a column of natural numbers, after them we come to the following picture:

So we got to the decimal point in the dividend, and the remainder is different from zero. In this case, we put a decimal point in the quotient, and continue the division by a column, ignoring the commas:

This division is completed, and as a result we got the decimal fraction 155.25, which corresponds to the original ordinary fraction.

Answer:

155,25 .

To consolidate the material, consider the solution of another example.

Example.

Convert the common fraction 21/800 to decimal.

Decision.

To convert this common fraction to a decimal, let's divide the decimal fraction 21,000 ... by 800 by a column. After the first step, we will have to put a decimal point in the quotient, and then continue the division:

Finally, we got the remainder 0, on this the conversion of the ordinary fraction 21/400 to the decimal fraction is completed, and we have come to the decimal fraction 0.02625.

Answer:

0,02625 .

It may happen that when dividing the numerator by the denominator of an ordinary fraction, we never get a remainder of 0. In these cases, the division can be continued as long as desired. However, starting from a certain step, the remainders begin to repeat periodically, while the digits in the quotient also repeat. This means that the original common fraction translates to an infinite periodic decimal. Let's show this with an example.

Example.

Write the common fraction 19/44 as a decimal.

Decision.

To convert an ordinary fraction to a decimal, we perform division by a column:

It is already clear that when dividing, the remainders 8 and 36 began to repeat, while in the quotient the numbers 1 and 8 are repeated. Thus, the original ordinary fraction 19/44 is translated into a periodic decimal fraction 0.43181818…=0.43(18) .

Answer:

0,43(18) .

In conclusion of this paragraph, we will figure out which ordinary fractions can be converted to final decimal fractions, and which ones can only be converted to periodic ones.

Let us have an irreducible ordinary fraction in front of us (if the fraction is reducible, then we first perform the reduction of the fraction), and we need to find out what decimal fraction it can be converted into - finite or periodic.

It is clear that if an ordinary fraction can be reduced to one of the denominators 10, 100, 1000, ..., then the resulting fraction can be easily converted into a final decimal fraction according to the rules discussed in the previous paragraph. But to the denominators 10, 100, 1,000, etc. not all ordinary fractions are given. Such denominators can only be reduced to fractions whose denominators are at least one of the numbers 10, 100, ... And what numbers can be divisors of 10, 100, ...? The numbers 10, 100, … will allow us to answer this question, and they are as follows: 10=2 5 , 100=2 2 5 5 , 1 000=2 2 2 5 5 5, … . It follows that the divisors of 10, 100, 1,000, etc. there can only be numbers whose decompositions into prime factors contain only the numbers 2 and (or) 5 .

Now we can make a general conclusion about the conversion of ordinary fractions to decimal fractions:

• if only the numbers 2 and (or) 5 are present in the decomposition of the denominator into prime factors, then this fraction can be converted into a final decimal fraction;
• if, in addition to two and fives, other prime numbers are present in the expansion of the denominator, then this fraction is translated into an infinite decimal periodic fraction.

Example.

Without converting ordinary fractions to decimals, tell me which of the fractions 47/20, 7/12, 21/56, 31/17 can be converted to a final decimal fraction, and which can only be converted to a periodic one.

Decision.

The prime factorization of the denominator of the fraction 47/20 has the form 20=2 2 5 . There are only twos and fives in this expansion, so this fraction can be reduced to one of the denominators 10, 100, 1000, ... (in this example, to the denominator 100), therefore, it can be converted to a final decimal fraction.

The prime factorization of the denominator of the fraction 7/12 has the form 12=2 2 3 . Since it contains a simple factor 3 different from 2 and 5, this fraction cannot be represented as a finite decimal fraction, but can be converted to a periodic decimal fraction.

Fraction 21/56 - contractible, after reduction it takes the form 3/8. The decomposition of the denominator into prime factors contains three factors equal to 2, therefore, the ordinary fraction 3/8, and hence the fraction equal to it 21/56, can be translated into a final decimal fraction.

Finally, the expansion of the denominator of the fraction 31/17 is itself 17, therefore, this fraction cannot be converted to a finite decimal fraction, but it can be converted to an infinite periodic one.

Answer:

47/20 and 21/56 can be converted to a final decimal, while 7/12 and 31/17 can only be converted to a periodic decimal.

Common fractions do not convert to infinite non-repeating decimals

The information of the previous paragraph raises the question: “Can an infinite non-periodic fraction be obtained when dividing the numerator of a fraction by the denominator”?

Answer: no. When translating an ordinary fraction, either a finite decimal fraction or an infinite periodic decimal fraction can be obtained. Let's explain why this is so.

From the divisibility theorem with a remainder, it is clear that the remainder is always less than the divisor, that is, if we divide some integer by an integer q, then only one of the numbers 0, 1, 2, ..., q−1 can be the remainder. It follows that after the column divides the integer part of the numerator of an ordinary fraction by the denominator q, after no more than q steps, one of the following two situations will arise:

• either we get the remainder 0 , this will end the division, and we will get the final decimal fraction;
• or we will get a remainder that has already appeared before, after which the remainders will begin to repeat as in the previous example (since when dividing equal numbers by q, equal remainders are obtained, which follows from the already mentioned divisibility theorem), so an infinite periodic decimal fraction will be obtained.

There can be no other options, therefore, when converting an ordinary fraction to a decimal fraction, an infinite non-periodic decimal fraction cannot be obtained.

It also follows from the reasoning given in this paragraph that the length of the period of a decimal fraction is always less than the value of the denominator of the corresponding ordinary fraction.

Convert decimals to common fractions

Now let's figure out how to convert a decimal fraction to an ordinary one. Let's start by converting final decimals to common fractions. After that, consider the method of inverting infinite periodic decimal fractions. In conclusion, let's say about the impossibility of converting infinite non-periodic decimal fractions into ordinary fractions.

Converting end decimals to common fractions

Getting an ordinary fraction, which is written as a final decimal fraction, is quite simple. The rule for converting a final decimal fraction to an ordinary fraction consists of three steps:

• firstly, write the given decimal fraction into the numerator, having previously discarded the decimal point and all zeros on the left, if any;
• secondly, write one in the denominator and add as many zeros to it as there are digits after the decimal point in the original decimal fraction;
• thirdly, if necessary, reduce the resulting fraction.

Let's consider examples.

Example.

Convert the decimal 3.025 to a common fraction.

Decision.

If we remove the decimal point in the original decimal fraction, then we get the number 3025. It has no zeros on the left that we would discard. So, in the numerator of the required fraction we write 3025.

We write the number 1 in the denominator and add 3 zeros to the right of it, since there are 3 digits in the original decimal fraction after the decimal point.

So we got an ordinary fraction 3 025/1 000. This fraction can be reduced by 25, we get .

Answer:

.

Example.

Convert decimal 0.0017 to common fraction.

Decision.

Without a decimal point, the original decimal fraction looks like 00017, discarding zeros on the left, we get the number 17, which is the numerator of the desired ordinary fraction.

In the denominator we write a unit with four zeros, since in the original decimal fraction there are 4 digits after the decimal point.

As a result, we have an ordinary fraction 17/10,000. This fraction is irreducible, and the conversion of a decimal fraction to an ordinary one is completed.

Answer:

.

When the integer part of the original final decimal fraction is different from zero, then it can be immediately converted to a mixed number, bypassing the ordinary fraction. Let's give rule for converting a final decimal to a mixed number:

• the number before the decimal point must be written as the integer part of the desired mixed number;
• in the numerator of the fractional part, you need to write the number obtained from the fractional part of the original decimal fraction after discarding all zeros on the left in it;
• in the denominator of the fractional part, you need to write the number 1, to which, on the right, add as many zeros as there are digits in the entry of the original decimal fraction after the decimal point;
• if necessary, reduce the fractional part of the resulting mixed number.

Consider an example of converting a decimal fraction to a mixed number.

Example.

Express decimal 152.06005 as a mixed number

A fraction is a number that consists of one or more fractions of a unit. There are three types of fractions in mathematics: common, mixed, and decimal.

• 
  Common fractions

An ordinary fraction is written as a ratio in which the numerator reflects how many parts of the number are taken, and the denominator shows how many parts the unit is divided into. If the numerator is less than the denominator, then we have a proper fraction. For example: ½, 3/5, 8/9.

If the numerator is equal to or greater than the denominator, then we are dealing with an improper fraction. For example: 5/5, 9/4, 5/2 Dividing the numerator can result in a finite number. For example, 40/8 \u003d 5. Therefore, any integer can be written as an ordinary improper fraction or a series of such fractions. Consider writing the same number as a series of different .

• mixed fractions

In general, a mixed fraction can be represented by the formula:

Thus, a mixed fraction is written as an integer and an ordinary proper fraction, and such a record is understood as the sum of a whole and its fractional part.

• Decimals

A decimal is a special kind of fraction in which the denominator can be represented as a power of 10. There are infinite and finite decimals. When writing this type of fraction, the integer part is first indicated, then the fractional part is fixed through the separator (dot or comma).

The record of the fractional part is always determined by its dimension. The decimal entry looks like this:

Translation rules between different types of fractions

• Converting a mixed fraction to a common fraction

A mixed fraction can only be converted to an improper fraction. For translation, it is necessary to bring the whole part to the same denominator as the fractional part. In general, it will look like this:
Consider the use of this rule on specific examples:

• Converting an ordinary fraction to a mixed one

An improper common fraction can be converted into a mixed fraction by simple division, which results in an integer part and a remainder (fractional part).

For example, let's translate the fraction 439/31 into a mixed one:
​​

• Translation of an ordinary fraction

In some cases, converting a fraction to a decimal is quite simple. In this case, the basic property of a fraction is applied, the numerator and denominator are multiplied by the same number, in order to bring the divisor to the power of 10.

For example:

In some cases, you may need to find the quotient by dividing by a corner or using a calculator. And some fractions cannot be reduced to a final decimal fraction. For example, the fraction 1/3 will never give the final result when divided.

Often children who study at school are interested in what they might need math for in real life, especially those sections that already go much further than simple counting, multiplication, division, summation and subtraction. Many adults also ask this question if their professional activity is very far from mathematics and various calculations. However, it should be understood that there are all sorts of situations, and sometimes you can’t do without the very notorious school curriculum that we so dismissively refused in childhood. For example, not everyone knows how to convert a fraction to a decimal fraction, and such knowledge can be extremely useful for the convenience of counting. First, you need to make sure that the fraction you need can be converted to a final decimal. The same goes for percentages, which can also be easily converted to decimals.

Checking an ordinary fraction for the possibility of converting it to a decimal

Before counting anything, you need to make sure that the resulting decimal fraction will be finite, otherwise it will turn out to be infinite and it will simply be impossible to calculate the final version. Moreover, infinite fractions can also be periodic and simple, but this is a topic for a separate section.

Converting an ordinary fraction to its final, decimal version is possible only if its unique denominator can only be decomposed into factors of 5 and 2 (simple factors). And even if they are repeated an arbitrary number of times.

Let us clarify that both of these numbers are prime, so in the end they can only be divided without a remainder by themselves, or by one. A table of prime numbers can be found without problems on the Internet, it is not at all difficult, although it has no direct relation to our account.

Consider examples:

The fraction 7/40 lends itself to being converted from a common fraction to its decimal equivalent because its denominator can be easily factored by 2 and 5.

However, if the first option results in a final decimal fraction, then, for example, 7/60 will not give a similar result, since its denominator will no longer be decomposed into the numbers we are looking for, but will have three among the denominator factors.

Converting a fraction to a decimal is possible in several ways.

After it became clear which fractions can be converted from ordinary to decimal, you can proceed, in fact, to the conversion itself. In fact, there is nothing super complicated, even for someone whose school curriculum has completely “weathered” from memory.

How to convert fractions to decimals: the easiest method

This way of converting an ordinary fraction into a decimal is indeed the simplest, but many people are not even aware of its mortal existence, since at school all these “common truths” seem unnecessary and not very important. Meanwhile, not only an adult can figure it out, but a child can easily perceive such information.

So, to convert a fraction to a decimal, you need to multiply the numerator, as well as the denominator, by one number. However, everything is not so simple, so as a result, it is in the denominator that it should turn out 10, 100, 1000, 10,000, 100,000 and so on, ad infinitum. Do not forget to first check whether it is exactly possible to turn a given fraction into a decimal.

Consider examples:

Let's say we need to convert the fraction 6/20 to decimal. We check:

After we have made sure that it is possible to convert a fraction to a decimal fraction, and even a final one, since its denominator is easily decomposed into twos and fives, we should proceed to the translation itself. The best option, logically, to multiply the denominator and get a result of 100 is 5, since 20x5=100.

You can consider an additional example, for clarity:

The second and more popular way convert fractions to decimals

The second option is somewhat more complicated, but it is more popular due to the fact that it is much easier to understand. Everything is transparent and clear here, so let's immediately move on to the calculations.

Worth remembering

In order to correctly convert a simple, that is, an ordinary fraction to its decimal equivalent, you need to divide the numerator by the denominator. In fact, a fraction is a division, you can’t argue with that.

Let's take a look at an example:

So, first of all, in order to convert the fraction 78/200 into a decimal, you need to divide its numerator, that is, the number 78, by the denominator 200. But the first thing that should become a habit is to check, which was already mentioned above.

After making a check, you need to remember the school and divide the numerator by the denominator with a “corner” or “column”.

As you can see, everything is extremely simple, and you don’t need to be seven spans in the forehead to easily solve such problems. For simplicity and convenience, we also give a table of the most popular fractions that are easy to remember and do not even make an effort to translate them.

How to convert percentages to decimals: there is nothing easier

Finally, the move has reached the percentage, which, it turns out, as the same school curriculum says, can be converted into a decimal fraction. And here everything will be even much easier, and you should not be afraid. Even those who did not graduate from universities will cope with the task, and the fifth grade of the school skipped at all and does not understand anything in mathematics.

Perhaps you need to start with a definition, that is, to figure out what, in fact, interest is. A percentage is one hundredth of a number, that is, absolutely arbitrary. From a hundred, for example, it will be a unit, and so on.

Thus, to convert percentages to decimals, you simply need to remove the% sign, and then divide the number itself by a hundred.

Consider examples:

Moreover, in order to make a reverse “conversion”, you simply need to do the opposite, that is, the number must be multiplied by a hundred and a percent sign must be assigned to it. In exactly the same way, by applying the knowledge gained, it is also possible to convert an ordinary fraction into a percentage. To do this, it will be enough just to first convert the usual fraction to a decimal, and therefore already convert it to a percentage, and you can also easily perform the reverse action. As you can see, there is nothing super complicated, all this is elementary knowledge that you just need to keep in mind, especially if you are dealing with numbers.

The path of least resistance: convenient online services

It also happens that you don’t feel like counting at all, and there is simply no time. It is for such cases, or for especially lazy users, that there are many convenient and easy-to-use services on the Internet that will allow you to convert ordinary fractions, as well as percentages, into decimal fractions. This is really the path of least resistance, so using such resources is a pleasure.

Useful reference portal "Calculator"

In order to use the "Calculator" service, just follow the link http://www.calc.ru/desyatichnyye-drobi.html and enter the required numbers in the required fields. Moreover, the resource allows you to convert to decimal, both ordinary and mixed fractions.

After a short wait, about three seconds, the service will give the final result.

In the same way, you can convert a decimal fraction to a common fraction.

Online calculator on the "Mathematical resource" Calcs.su

Another very useful service is the fraction calculator on the Mathematical Resource. Here you also don’t have to count anything on your own, just select from the proposed list what you need and go ahead, for orders.

Further, in the field specially designated for this, you need to enter the desired number of percent, which you need to convert to a regular fraction. Moreover, if you need decimal fractions, then you can easily cope with the translation task yourself or use the calculator that is intended for this.

In the end, it’s worth adding that no matter how many newfangled services would be invented, how many resources would not offer you their services, but it won’t hurt to train your head from time to time. Therefore, it is necessary to apply the acquired knowledge, especially since you can then proudly help your own children, and then grandchildren, do their homework. For those who suffer from eternal lack of time, such online calculators on mathematical portals will come in handy and will even help you understand how to convert a common fraction to a decimal.