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Class 4 Fractions Addition

Introduction to Fractions Addition

Addition of Like Fractions

Addition of Unlike Fractions

Addition of Mixed Fraction

Online Test

Introduction to Fractions Addition

There are mainly 3 types of fraction addition, they are given below.

1. Addition of like fraction

2. Addition of unlike fraction

3. Addition of mixed fraction

Addition of Like Fractions

To add like fractions, we first add the numerators of both the fractions. Then, we place the sum over the common denominator. Let's have a look at some examples.

Example 1. Add 29 and 529.

Solution.

Fraction-Addition-1

Example 2. Add 112 and 512.

Solution.
Fraction-Addition-2
If we simplify 612 further, then it will become 12.

Example 3. Add 17, 27 and 37.

Solution.
Fraction-Addition-3

Example 4. Add 415 and 615.

Solution.
Fraction-Addition-4
If we simplify 1015 further, then it will become 23.

Addition of Unlike Fractions

Method 1

To add fractions with different denominators, we have to change the fractions into like fractions, or we have to change the fractions to fractions having same denominators. Let's see some examples.

Example 1. Add 23 and 14.

Solution.
23 + 14
First, we have to convert 23 and 14 into like fractions.
Denominator of the first fraction should be multiplied to numerator and denominator of second fraction. In this case, 3 is the denominator of first fraction and it should be multiplied both
numerator and denominator of second fraction 14.
Fraction-Addition-5
similarly
Fraction-Addition-6
Now, add 812 and 312.
Fraction-Addition-7

Example 2. Add 23 and 56.

Solution.

Fraction-Addition-8

Method 2

Example 1. Add 23 and 34

Solution.
Find the LCM of the denominators. It is 12 in this case. Divide 12 by the denominator of the first fraction. 12 ÷ 3 = 4. Multiply the quotient (4) by the numerator of the first fraction. 4 x 2 = 8. Now divide 12 by the denominator of the second fraction 12 ÷ 4 = 3. Multiply the quotient by the numerator of the second fraction 3 x 3 = 9. So, the resultant fraction numerator will be 8 + 9 = 17 and denominator will be 12. Let’s see the mathematical operation.

Fraction-Addition-9

Example 2. Add 35 and 415.

Solution.
35 + 415
LCM of 5 and 15 is equal to 15.
Fraction-Addition-11

Example 3. Add 34, 58 and 712.

Solution.
34 + 58 + 712
LCM of 4, 8 and 12 is equal to 24.
Fraction-Addition-12

Addition of Mixed Fraction

Method 1

Convert the mixed fractions to improper fractions and then add the fractions. Let's see some examples.

Example 1. Add 325 and 215

Solution.
First convert 325 and 215 into improper fraction.
Improper fraction of 325 is equal to 175.
Improper fraction of 215is equal 115.
Now add both the improper fraction.
Fraction-Addition-10

Method 2

In this method, we first add the whole numbers and keep the sum aside. Then, we add the fractions. To write the answer, we first write the whole number and on it's right, we write the sum of the fractions.

Example 1. Add 215 and 335

Solution.

Fraction-Addition-13
First add the whole numbers, that is 2 + 3 = 5. Keep it aside on the left.
Then, add the fractions 15 and 35

5(15 + 35) = 545

Example 2. Add 225 and 3310

Solution.

225 + 3310
First, add the whole numbers, that is, 2 + 3 = 5
Then, add the fractions.
Fraction-Addition-14
So, the answer is 5710.

Online Test

Fractions Addition - 1

Fractions Addition - 2

Fractions Addition - 3











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