Instruction

Reduction to a common denominator.

Let fractions a/b and c/d be given.

The numerator and denominator of the first fraction is multiplied by LCM / b

The numerator and denominator of the second fraction is multiplied by LCM/d

An example is shown in the figure.

To compare fractions, they need to have a common denominator, then compare the numerators. For example, 3/4< 4/5, см. .

Addition and subtraction of fractions.

To find the sum of two ordinary fractions, they must be reduced to a common denominator, and then add the numerators, the denominator is unchanged. An example of adding fractions 1/2 and 1/3 is shown in the figure.

The difference of fractions is found in a similar way, after finding the common denominator, the numerators of the fractions are subtracted, see the figure.

When multiplying ordinary fractions, the numerators and denominators are multiplied together.

In order to divide two fractions, you need a fraction of the second fraction, i.e. change its numerator and denominator, and then multiply the resulting fractions.

Related videos

Sources:

• fractions grade 5 by example
• Basic tasks for fractions

Module represents the absolute value of the expression. Parentheses are used to designate a module. The values ​​contained in them are taken modulo. The solution of the module is to open parentheses according to certain rules and find the set of values ​​of the expression. In most cases, the module is expanded in such a way that the submodule expression takes on a series of positive and negative values, including zero. Based on these properties of the module, further equations and inequalities of the original expression are compiled and solved.

Instruction

Write down the original equation with . For it, open the module. Consider each submodule expression. Determine at what value of the unknown quantities included in it, the expression in modular brackets vanishes.

To do this, equate the submodule expression to zero and find the resulting equation. Write down the found values. In the same way, determine the values ​​of the unknown variable for each modulus in the given equation.

Draw a number line and plot the resulting values ​​on it. The values ​​of the variable in the zero module will serve as constraints in solving the modular equation.

In the original equation, you need to open the modular ones, changing the sign so that the values ​​of the variable correspond to those displayed on the number line. Solve the resulting equation. Check the found value of the variable against the restriction specified by the module. If the solution satisfies the condition, it is true. Roots that do not satisfy the restrictions should be discarded.

Similarly, expand the modules of the original expression, taking into account the sign, and calculate the roots of the resulting equation. Write down all the obtained roots that satisfy the constraint inequalities.

Fractional numbers allow you to express the exact value of a quantity in different ways. With fractions, you can perform the same mathematical operations as with integers: subtraction, addition, multiplication, and division. To learn how to decide fractions, it is necessary to remember some of their features. They depend on the type fractions, the presence of an integer part, a common denominator. Some arithmetic operations after execution require reduction of the fractional part of the result.

You will need

• - calculator

Instruction

Look carefully at the numbers. If there are decimals and irregulars among the fractions, it is sometimes more convenient to first perform actions with decimals, and then convert them to the wrong form. Can you translate fractions in this form initially, writing the value after the decimal point in the numerator and putting 10 in the denominator. If necessary, reduce the fraction by dividing the numbers above and below by one divisor. Fractions in which the whole part stands out, lead to the wrong form by multiplying it by the denominator and adding the numerator to the result. This value will become the new numerator fractions. To extract the whole part from the initially incorrect fractions, divide the numerator by the denominator. Write the whole result from fractions. And the remainder of the division becomes the new numerator, the denominator fractions while not changing. For fractions with an integer part, it is possible to perform actions separately, first for the integer and then for the fractional parts. For example, the sum of 1 2/3 and 2 ¾ can be calculated:
- Converting fractions to the wrong form:
- 1 2/3 + 2 ¾ = 5/3 + 11/4 = 20/12 + 33/12 = 53/12 = 4 5/12;
- Summation separately of integer and fractional parts of terms:
- 1 2/3 + 2 ¾ = (1+2) + (2/3 + ¾) = 3 + (8/12 + 9/12) = 3 + 17/12 = 3 + 1 5/12 = 4 5 /12.

For with values ​​below the line, find the common denominator. For example, for 5/9 and 7/12, the common denominator will be 36. For this, the numerator and denominator of the first fractions you need to multiply by 4 (it will turn out 28/36), and the second - by 3 (it will turn out 15/36). Now you can do the calculations.

If you are going to calculate the sum or difference of fractions, first write down the found common denominator under the line. Perform the necessary actions between the numerators, and write the result above the new line fractions. Thus, the new numerator will be the difference or the sum of the numerators of the original fractions.

To calculate the product of fractions, multiply the numerators of the fractions and write the result in place of the numerator of the final fractions. Do the same for the denominators. When dividing one fractions write one fraction on the other, and then multiply its numerator by the denominator of the second. At the same time, the denominator of the first fractions multiplied accordingly by the numerator of the second. At the same time, a kind of reversal of the second fractions(divider). The final fraction will be from the results of multiplying the numerators and denominators of both fractions. Easy to learn fractions, written in the condition in the form of a "four-story" fractions. If it separates two fractions, rewrite them with a ":" delimiter, and continue with normal division.

To get the final result, reduce the resulting fraction by dividing the numerator and denominator by one whole number, the largest possible in this case. In this case, there must be integer numbers above and below the line.

note

Don't do arithmetic with fractions that have different denominators. Choose a number such that when the numerator and denominator of each fraction are multiplied by it, as a result, the denominators of both fractions are equal.

Useful advice

When writing fractional numbers, the dividend is written above the line. This quantity is referred to as the numerator of a fraction. Under the line, the divisor, or denominator, of the fraction is written. For example, one and a half kilograms of rice in the form of a fraction will be written as follows: 1 ½ kg of rice. If the denominator of a fraction is 10, it is called a decimal fraction. In this case, the numerator (dividend) is written to the right of the whole part separated by a comma: 1.5 kg of rice. For the convenience of calculations, such a fraction can always be written in the wrong form: 1 2/10 kg of potatoes. To simplify, you can reduce the numerator and denominator values ​​by dividing them by a single whole number. In this example, dividing by 2 is possible. The result is 1 1/5 kg of potatoes. Make sure that the numbers you are going to do arithmetic with are in the same form.

Instruction

Click once on the "Insert" menu item, then select the "Symbol" item. This is one of the easiest ways to insert fractions to text. It consists in the following. The set of ready characters has fractions. Their number is usually small, but if you need to write ½, not 1/2 in the text, then this option will be the most optimal for you. In addition, the number of fraction characters may depend on the font. For example, for the Times New Roman font, there are slightly fewer fractions than for the same Arial. Vary fonts to find the best option when it comes to simple expressions.

Click on the menu item "Insert" and select the sub-item "Object". You will see a window with a list of possible objects to insert. Choose among them Microsoft Equation 3.0. This app will help you type fractions. And not only fractions, but also complex mathematical expressions containing various trigonometric functions and other elements. Double-click on this object with the left mouse button. You will see a window containing many symbols.

To print a fraction, select the symbol representing a fraction with an empty numerator and denominator. Click on it once with the left mouse button. An additional menu will appear, specifying the scheme of the fractions. There may be several options. Choose the most suitable for you and click on it once with the left mouse button.

Almost every fifth grader after the first acquaintance with ordinary fractions is in a little shock. Not only do you still need to understand the essence of fractions, but you still have to perform arithmetic operations with them. After that, little students will systematically interrogate their teacher, find out when these fractions will run out.

To avoid such situations, it is enough just to explain this difficult topic to children as simply as possible, and preferably in a playful way.

The essence of the fraction

Before you learn what a fraction is, the child must get acquainted with the concept share . Here the associative method is best suited.

Imagine a whole cake that has been divided into several equal parts, let's say four. Then each piece of the cake can be called a share. If you take one of the four pieces of cake, then it will be one-fourth of a share.

The shares are different, because the whole can be divided into a completely different number of parts. The more shares in general, the smaller they are, and vice versa.

So that the shares could be designated, they came up with such a mathematical concept as common fraction. The fraction will allow us to write down as many shares as needed.

The components of a fraction are the numerator and denominator, which are separated by a fractional bar or a slash. Many children do not understand their meaning, and therefore the essence of the fraction is not clear to them. The fractional bar indicates division, there is nothing complicated here.

It is customary to write the denominator below, under the fractional line or to the right of the overlay line. It shows the number of parts of the whole. The numerator, it is written above the fractional line or to the left of the oblique line, determines how many shares were taken. For example, the fraction 4/7. In this case, 7 is the denominator, shows that there are only 7 shares, and the numerator 4 indicates that four of the seven shares were taken.

The main shares and their record in fractions:

In addition to the ordinary, there is also a decimal fraction.

Actions with fractions Grade 5

In the fifth grade, they learn to perform all arithmetic operations with fractions.

All actions with fractions are performed according to the rules, and it’s not worth hoping that without learning the rule everything will turn out by itself. Therefore, do not neglect the oral part of your math homework.

We have already understood that the decimal and ordinary fractions are different, therefore, arithmetic operations will be performed differently. Actions with ordinary fractions depend on those numbers that are in the denominator, and in decimal, after the decimal point on the right.

For fractions that have the same denominators, the addition and subtraction algorithm is very simple. Actions are performed only with numerators.

For fractions with different denominators, find Least Common Denominator (LCD). This is the number that will be divided without a remainder by all denominators, and will be the smallest of such numbers, if there are several of them.

To add or subtract decimals, you need to write them in a column, comma under comma, and equalize the number of decimal places if necessary.

To multiply ordinary fractions, simply find the product of the numerators and denominators. A very simple rule.

The division is performed according to the following algorithm:

1. Dividend to write without change
2. Division turn into multiplication
3. Flip the divisor (write the reciprocal of the divisor)
4. Perform multiplication

Addition of fractions, explanation

Let's take a closer look at how to add common and decimal fractions.

As you can see in the image above, the fractions one third and two thirds have a common denominator three. So it is required to add only the numerators one and two, and leave the denominator unchanged. The result is three thirds. Such an answer, when the numerator and denominator of the fraction are equal, can be written as 1, since 3:3 = 1.

It is required to find the sum of fractions two thirds and two ninths. In this case, the denominators are different, 3 and 9. To perform the addition, you need to find a common one. There is a very simple way. We choose the largest denominator, this is 9. We check whether it is divisible by 3. Since 9:3 = 3 without a remainder, therefore 9 is suitable as a common denominator.

The next step is to find additional factors for each numerator. To do this, we divide the common denominator 9 in turn by the denominator of each fraction, the resulting numbers will be added. plural For the first fraction: 9:3 \u003d 3, we add 3 to the numerator of the first fraction. For the second fraction: 9:9 \u003d 1, one can not be added, since when multiplied by it, the same number will be obtained.

Now we multiply the numerators by their complementary factors and add the results. The resulting amount is a fraction of eight ninths.

Adding decimals follows the same rules as adding natural numbers. In a column, the discharge is written below the discharge. The only difference is that in decimal fractions, you need to correctly put a comma in the result. To do this, the fractions are written comma under the comma, and in the sum it is only required to carry the comma down.

Let's find the sum of fractions 38, 251 and 1, 56. To make it more convenient to perform the actions, we leveled the number of decimal places on the right by adding 0.

Adding fractions, ignoring the comma. And in the resulting amount, simply drop the comma down. Answer: 39, 811.

Subtraction of fractions, explanation

To find the difference between two-thirds and one-third fractions, you need to calculate the difference between the numerators 2-1 = 1, and leave the denominator unchanged. In the answer we get a difference of one third.

Find the difference between five sixths and seven tenths. We find a common denominator. We use the selection method, out of 6 and 10, the largest is 10. We check: 10: 6 is not divisible without a remainder. We add another 10, it turns out 20:6, it also cannot be divided without a remainder. Again we increase by 10, we got 30:6 = 5. The common denominator is 30. The NOZ can also be found from the multiplication table.

We find additional factors. 30:6 = 5 - for the first fraction. 30:10 = 3 - for the second. We multiply the numerators and their additional multiplier. We get 25/30 reduced and 21/30 subtracted. Next, we subtract the numerators, and leave the denominator unchanged.

The result is a difference of 4/30. The fraction is abbreviated. Divide it by 2. The answer is 2/15.

Division of decimal fractions Grade 5

There are two options for this topic:

Multiplication of decimal fractions Grade 5

Remember how you multiply natural numbers, in exactly the same way you find the product of decimal fractions. First, let's figure out how to multiply a decimal fraction by a natural number. For this:

When multiplying a decimal by a decimal, we act in the same way.

Mixed fractions Grade 5

Five-graders like to call such fractions not mixed, but<<смешные>> probably easier to remember. Mixed fractions are called so because they are obtained by combining a whole natural number and an ordinary fraction.

A mixed fraction consists of an integer part and a fractional part.

When reading such fractions, the whole part is first called, then the fractional part: one whole two thirds, two whole one fifth, three whole two fifths, four point three fourths.

How are they obtained, these mixed fractions? Everything is pretty simple. When we get an improper fraction in the answer (a fraction whose numerator is greater than the denominator), we must always convert it to a mixed one. Just divide the numerator by the denominator. This action is called extracting the integer part:

Converting a mixed fraction back to an improper one is also easy:

Examples with decimals Grade 5 with explanation

Many questions in children are caused by examples of several actions. Let's look at a couple of such examples.

(0.4 8.25 - 2.025) : 0.5 =

The first step is to find the product of the numbers 8.25 and 0.4. We carry out multiplication according to the rule. In the answer, we count from right to left three characters and put a comma.

The second action is in the same place in brackets, this is the difference. Subtract 2.025 from 3.300. We write the action in a column, a comma under a comma.

The third action is division. The resulting difference in the second action is divided by 0.5. The comma is carried over by one character. Result 2.55.

Answer: 2.55.

(0, 93 + 0, 07) : (0, 93 — 0, 805) =

The first action is the sum in brackets. We put it in a column, remember that the comma is under the comma. We get the answer 1.00.

The second action is the difference from the second parenthesis. Since the minuend has fewer decimal places than the subtrahend, we add the missing one. The result of the subtraction is 0.125.

The third step is to divide the sum by the difference. The comma is carried over to three digits. The result was a division of 1000 by 125.

Answer: 8.

Examples with ordinary fractions with different denominators Grade 5 with explanation

In the first example, we find the sum of fractions 5/8 and 3/7. The common denominator will be the number 56. We find additional multipliers, divide 56:8 \u003d 7 and 56:7 \u003d 8. We add them to the first and second fractions, respectively. We multiply the numerators and their factors, we get the sum of fractions 35/56 and 24/56. We got the sum 59/56. The fraction is incorrect, we translate it into a mixed number. The rest of the examples are solved in a similar way.

Examples with fractions grade 5 for training

For convenience, convert mixed fractions to improper and follow the steps.

How to teach a child to easily solve fractions with Lego

With the help of such a constructor, you can not only develop the child’s imagination well, but also explain clearly in a playful way what a fraction and a fraction are.

The picture below shows that one part with eight circles is a whole. So, taking a puzzle with four circles, you get half, or 1/2. The picture clearly shows how to solve examples with Lego, if you count the circles on the details.

You can build turrets from a certain number of parts and label each of them, as in the picture below. For example, take a turret of seven parts. Each part of the green constructor will be 1/7. If you add two more to one such part, you get 3/7. Visual explanation of the example 1/7+2/7 = 3/7.

To get A's in math, don't forget to learn the rules and practice them.

Multiplication and division of fractions.

Attention!
There are additional
material in Special Section 555.
For those who strongly "not very..."
And for those who "very much...")

This operation is much nicer than addition-subtraction! Because it's easier. I remind you: to multiply a fraction by a fraction, you need to multiply the numerators (this will be the numerator of the result) and the denominators (this will be the denominator). That is:

For example:

Everything is extremely simple. And please don't look for a common denominator! Don't need it here...

To divide a fraction by a fraction, you need to flip second(this is important!) fraction and multiply them, i.e.:

For example:

If multiplication or division with integers and fractions is caught, it's okay. As with addition, we make a fraction from a whole number with a unit in the denominator - and go! For example:

In high school, you often have to deal with three-story (or even four-story!) fractions. For example:

How to bring this fraction to a decent form? Yes, very easy! Use division through two points:

But don't forget about the division order! Unlike multiplication, this is very important here! Of course, we will not confuse 4:2 or 2:4. But in a three-story fraction it is easy to make a mistake. Please note, for example:

In the first case (expression on the left):

In the second (expression on the right):

Feel the difference? 4 and 1/9!

What is the order of division? Or brackets, or (as here) the length of horizontal dashes. Develop an eye. And if there are no brackets or dashes, like:

then divide-multiply in order, left to right!

And another very simple and important trick. In actions with degrees, it will come in handy for you! Let's divide the unit by any fraction, for example, by 13/15:

The shot has turned over! And it always happens. When dividing 1 by any fraction, the result is the same fraction, only inverted.

That's all the actions with fractions. The thing is quite simple, but gives more than enough errors. Take note of practical advice, and there will be fewer of them (mistakes)!

Practical Tips:

1. The most important thing when working with fractional expressions is accuracy and attentiveness! These are not common words, not good wishes! This is a severe need! Do all the calculations on the exam as a full-fledged task, with concentration and clarity. It is better to write two extra lines in a draft than to mess up when calculating in your head.

2. In examples with different types of fractions - go to ordinary fractions.

3. We reduce all fractions to the stop.

4. We reduce multi-level fractional expressions to ordinary ones using division through two points (we follow the order of division!).

5. We divide the unit into a fraction in our mind, simply by turning the fraction over.

Here are the tasks you need to complete. Answers are given after all tasks. Use the materials of this topic and practical advice. Estimate how many examples you could solve correctly. The first time! Without a calculator! And draw the right conclusions...

Remember the correct answer obtained from the second (especially the third) time - does not count! Such is the harsh life.

So, solve in exam mode ! This is preparation for the exam, by the way. We solve an example, we check, we solve the following. We decided everything - we checked again from the first to the last. But only after look at the answers.

Calculate:

Did you decide?

Looking for answers that match yours. I specifically wrote them down in a mess, away from the temptation, so to speak ... Here they are, the answers, written down with a semicolon.

0; 17/22; 3/4; 2/5; 1; 25.

And now we draw conclusions. If everything worked out - happy for you! Elementary calculations with fractions are not your problem! You can do more serious things. If not...

So you have one of two problems. Or both at once.) Lack of knowledge and (or) inattention. But this solvable Problems.

If you like this site...

By the way, I have a couple more interesting sites for you.)

You can practice solving examples and find out your level. Testing with instant verification. Learning - with interest!)

you can get acquainted with functions and derivatives.

In the article, we will show how to solve fractions with simple clear examples. Let's understand what a fraction is and consider solving fractions!

concept fractions is introduced into the course of mathematics starting from the 6th grade of secondary school.

Fractions look like: ±X / Y, where Y is the denominator, it tells how many parts the whole was divided into, and X is the numerator, it tells how many such parts were taken. For clarity, let's take an example with a cake:

In the first case, the cake was cut equally and one half was taken, i.e. 1/2. In the second case, the cake was cut into 7 parts, from which 4 parts were taken, i.e. 4/7.

If the part of dividing one number by another is not a whole number, it is written as a fraction.

For example, the expression 4:2 \u003d 2 gives an integer, but 4:7 is not completely divisible, so this expression is written as a fraction 4/7.

In other words fraction is an expression that denotes the division of two numbers or expressions, and which is written with a slash.

If the numerator is less than the denominator, the fraction is correct, if vice versa, it is incorrect. A fraction can contain an integer.

For example, 5 whole 3/4.

This entry means that in order to get the whole 6, one part of four is not enough.

If you want to remember how to solve fractions for 6th grade you need to understand that solving fractions basically comes down to understanding a few simple things.

• A fraction is essentially an expression for a fraction. That is, a numerical expression of what part a given value is from one whole. For example, the fraction 3/5 expresses that if we divide something whole into 5 parts and the number of parts or parts of this whole is three.
• A fraction can be less than 1, for example 1/2 (or essentially half), then it is correct. If the fraction is greater than 1, for example 3/2 (three halves or one and a half), then it is incorrect and to simplify the solution, it is better for us to select the whole part 3/2= 1 whole 1/2.
• Fractions are the same numbers as 1, 3, 10, and even 100, only the numbers are not whole, but fractional. With them, you can perform all the same operations as with numbers. Counting fractions is not more difficult, and further we will show this with specific examples.

How to solve fractions. Examples.

A variety of arithmetic operations are applicable to fractions.

Bringing a fraction to a common denominator

For example, you need to compare the fractions 3/4 and 4/5.

To solve the problem, we first find the lowest common denominator, i.e. the smallest number that is divisible without remainder by each of the denominators of the fractions

Least common denominator(4.5) = 20

Then the denominator of both fractions is reduced to the lowest common denominator

Answer: 15/20

Addition and subtraction of fractions

If it is necessary to calculate the sum of two fractions, they are first brought to a common denominator, then the numerators are added, while the denominator remains unchanged. The difference of fractions is considered in a similar way, the only difference is that the numerators are subtracted.

For example, you need to find the sum of fractions 1/2 and 1/3

Now find the difference between the fractions 1/2 and 1/4

Multiplication and division of fractions

Here the solution of fractions is simple, everything is quite simple here:

• Multiplication - numerators and denominators of fractions are multiplied among themselves;
• Division - first we get a fraction, the reciprocal of the second fraction, i.e. swap its numerator and denominator, after which we multiply the resulting fractions.

For example:

On this about how to solve fractions, all. If you have any questions about solving fractions, something is not clear, then write in the comments and we will answer you.

If you are a teacher, then it is possible to download a presentation for an elementary school (http://school-box.ru/nachalnaya-shkola/prezentazii-po-matematike.html) which will come in handy.

The numerator, and that by which it is divided is the denominator.

To write a fraction, first write its numerator, then draw a horizontal line under this number, and write the denominator under the line. The horizontal line separating the numerator and denominator is called a fractional bar. Sometimes it is depicted as an oblique "/" or "∕". In this case, the numerator is written to the left of the line, and the denominator to the right. So, for example, the fraction "two-thirds" will be written as 2/3. For clarity, the numerator is usually written at the top of the line, and the denominator at the bottom, that is, instead of 2/3, you can find: ⅔.

To calculate the product of fractions, first multiply the numerator of one fractions to another numerator. Write the result to the numerator of the new fractions. Then multiply the denominators as well. Specify the final value in the new fractions. For example, 1/3? 1/5 = 1/15 (1 × 1 = 1; 3 × 5 = 15).

To divide one fraction by another, first multiply the numerator of the first by the denominator of the second. Do the same with the second fraction (divisor). Or, before performing all the steps, first “flip” the divisor, if it’s more convenient for you: the denominator should be in place of the numerator. Then multiply the denominator of the dividend by the new denominator of the divisor and multiply the numerators. For example, 1/3: 1/5 = 5/3 = 1 2/3 (1 × 5 = 5; 3 × 1 = 3).

Sources:

• Basic tasks for fractions

Fractional numbers allow you to express the exact value of a quantity in different ways. With fractions, you can perform the same mathematical operations as with integers: subtraction, addition, multiplication, and division. To learn how to decide fractions, it is necessary to remember some of their features. They depend on the type fractions, the presence of an integer part, a common denominator. Some arithmetic operations after execution require reduction of the fractional part of the result.

You will need

• - calculator

Instruction

Look carefully at the numbers. If there are decimals and irregulars among the fractions, it is sometimes more convenient to first perform actions with decimals, and then convert them to the wrong form. Can you translate fractions in this form initially, writing the value after the decimal point in the numerator and putting 10 in the denominator. If necessary, reduce the fraction by dividing the numbers above and below by one divisor. Fractions in which the whole part stands out, lead to the wrong form by multiplying it by the denominator and adding the numerator to the result. This value will become the new numerator fractions. To extract the whole part from the initially incorrect fractions, divide the numerator by the denominator. Write the whole result from fractions. And the remainder of the division becomes the new numerator, the denominator fractions while not changing. For fractions with an integer part, it is possible to perform actions separately, first for the integer and then for the fractional parts. For example, the sum of 1 2/3 and 2 ¾ can be calculated:
- Converting fractions to the wrong form:
- 1 2/3 + 2 ¾ = 5/3 + 11/4 = 20/12 + 33/12 = 53/12 = 4 5/12;
- Summation separately of integer and fractional parts of terms:
- 1 2/3 + 2 ¾ = (1+2) + (2/3 + ¾) = 3 + (8/12 + 9/12) = 3 + 17/12 = 3 + 1 5/12 = 4 5 /12.

Rewrite them through the separator ":" and continue the usual division.

To get the final result, reduce the resulting fraction by dividing the numerator and denominator by one whole number, the largest possible in this case. In this case, there must be integer numbers above and below the line.

note

Don't do arithmetic with fractions that have different denominators. Choose a number such that when the numerator and denominator of each fraction are multiplied by it, as a result, the denominators of both fractions are equal.

Useful advice

When writing fractional numbers, the dividend is written above the line. This quantity is referred to as the numerator of a fraction. Under the line, the divisor, or denominator, of the fraction is written. For example, one and a half kilograms of rice in the form of a fraction will be written as follows: 1 ½ kg of rice. If the denominator of a fraction is 10, it is called a decimal fraction. In this case, the numerator (dividend) is written to the right of the whole part separated by a comma: 1.5 kg of rice. For the convenience of calculations, such a fraction can always be written in the wrong form: 1 2/10 kg of potatoes. To simplify, you can reduce the numerator and denominator values ​​by dividing them by a single whole number. In this example, dividing by 2 is possible. The result is 1 1/5 kg of potatoes. Make sure that the numbers you are going to do arithmetic with are in the same form.