• # How to add fractions?

Svetlana Noskova
February 28, 2013

To understand how to add fractions it is necessary, first of all, to know the classification of a fraction.

## Types of fractions

• Ordinary fractions
• Correct fractions
• Wrong fractions
• Mixed numbers

How to add decimals? In addition, the decimal fractions use the entry "column", so that the corresponding bits are located above each other without shifting. In this case, the commas are exactly above each other.

Example:

2,45  ;  5,76

4,65  ;  5,73

Arrange decimals in the "column", as well as natural numbers, despite the presence of commas. In the answer the comma is put under the commas in both fractions.

If the copied decimal fractions contain a different number of digits after the decimal point, then the fraction, where the smaller number of decimal places must be assigned to the missing number of zeros, in order to equalize the number of decimal places in fractions.

Find the sum of fractions: 0.534 + 22.5

Equalize the number of decimal places in these fractions. We add two zeros on the right to a decimal fraction of 22.5.

• 0,534 + 22,500 =
• 00,534
• 22,500
• 23,034

How to add ordinary fractions? Let you be given two fractions:

• 2/7 and 2/3

Find the common denominator for these fractions. It will be equal to the product of their denominators.

We bring fractions to a common denominator. Multiply the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction, so the denominators of both fractions will be 21. We get the following:

• 6/21 and 14/21

We arrange these fractions, then we obtain a fraction with a common denominator - we harmonize the numerators of the fractions shown. The denominator will remain the same. That is, we get:

• 6 + 14=20
• 20 and the result will be the addition of 2 and 2
• It turns out 20/21

## Mixed fractions

A fraction that is written as an integer near a regular fraction is called a mixed fraction and is understood as the sum of the assigned number and fraction. Each rational number can be written as a mixed fraction. The opposite part of the mixed fraction - contains only the numerator and denominator.

Example:

2            2     6      2     8

2 — = 2 + — = — +  — = —  ;

3            3     3      3     3

Thus, to perform any action, a mixed fraction can be brought into the form of a conventional fraction for solving it in an appropriate way.

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