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Adding Fractions

In this worksheet, students add two simple fractions by first finding their lowest common denominator.

'Adding Fractions' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Four Operations for All Numbers

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

When we add two fractions, they must have the same denominator.

We use equivalent fractions to change them into two fractions with the same lowest common denominator.

 

Example

Work out

3 + 1
10 15

 

Answer

We must first find the lowest common multiple of 10 and 15, which is 30.

Then we change each fraction into 30ths.

30 ÷ 10 = 3 so we multiply top and bottom of the first fraction by 3.

30 ÷ 15 = 2 so we multiply top and bottom of the second fraction by 2.

 

3 + 1
10 15

 

= 3 × 3 + 1 × 2
10 × 3  15 × 2

 

= 9 + 2
30  30

 

= 11
30

Work out

 

2 + 1
3 4

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
3 5

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
5 3

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
5 4

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

3 + 1
5 6

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
5 10

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
7 4

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 3
9 4

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 + 1
9 6

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

5 + 1
6 9

 

(Write your answer in its lowest terms in the form a/b)

  • Question 1

Work out

 

2 + 1
3 4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
11/12
  • Question 2

Work out

 

2 + 1
3 5

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
13/15
  • Question 3

Work out

 

2 + 1
5 3

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
11/15
  • Question 4

Work out

 

2 + 1
5 4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
13/20
  • Question 5

Work out

 

3 + 1
5 6

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
23/30
  • Question 6

Work out

 

2 + 1
5 10

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
1/2
  • Question 7

Work out

 

2 + 1
7 4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
15/28
  • Question 8

Work out

 

2 + 3
9 4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
35/36
  • Question 9

Work out

 

2 + 1
9 6

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
7/18
  • Question 10

Work out

 

5 + 1
6 9

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
17/18
---- OR ----

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