Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Adding and subtracting fractions

Finding a common denominator.

17 original questions, 47 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Work out 1 − 38

1 mark
Show answer
58
2

Work out 29 + 59

1 mark
Show answer
7/9
3

Find the number that is exactly halfway between 14 and 58

2 marks
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716
4

Work out 310 + 14

2 marks
Show answer
11/20
5

Amir eats 13 of a pizza. Bea eats 14 of the same pizza.

  1. What fraction of the pizza have they eaten altogether?
  2. What fraction of the pizza is left?
3 marks
Show answer
a) 7/12 b) 5/12
6

Freya is asked to work out 23 + 16

Here is her working.

23 + 16 = 39 = 13

Describe two ways you can tell that Freya's method is wrong.

2 marks
Show answer
She added the numerators and the denominators instead of using a common denominator; also her answer 13 is smaller than 23, which is impossible when adding a positive fraction. (Correct answer: 23 = 46, so 46 + 16 = 56.)
7
  1. One of these fractions is not equivalent to 35

    610    915    1225    1525

    Write down this fraction.

  2. Work out 25 + 13
3 marks
Show answer
a) 12/25 b) 11/15
8

Work out 425 − 134

Give your answer as a mixed number in its simplest form.

3 marks
Show answer
21320
9

Work out 56 − 38

2 marks
Show answer
11/24
10

Work out 34 + 56

Give your answer as a mixed number.

2 marks
Show answer
1 7/12
11

A jug holds 34 litre of juice. Dina pours out 25 litre.

How much juice is left in the jug?

2 marks
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7/20 litre
12
  1. Work out 79 − 13
  2. Work out 34 × 29
    Give your answer in its simplest form.
4 marks
Show answer
a) 4/9 b) 1/6
13

Work out (13 + 16) ÷ 14

3 marks
Show answer
2
14
  1. Work out 134 + 256

    Give your answer as a mixed number in its simplest form.

  2. Work out 212 × 115
4 marks
Show answer
a) 4 7/12 b) 3
15
  1. Work out 78 − 25
  2. Show that 123 × 214 = 334
5 marks
Show answer
a) 19/40 b) 5/3 x 9/4 = 45/12 = 15/4 = 3 3/4
16

Tomos works out 3 15 − 1 35

His working is:

3 − 1 = 2
35 − 15 = 25
Answer: 2 25

  1. Explain the mistake Tomos has made.
  2. Work out the correct answer.
3 marks
Show answer
a) He subtracted the smaller fraction from the larger one, but you cannot take 3/5 away from 1/5 that way b) 1 3/5
17
  1. Work out 1 12 + 2 23
    Give your answer as a mixed number.
  2. Work out 56 ÷ 23
    Give your answer as a mixed number.
5 marks
Show answer
a) 4 1/6 b) 1 1/4

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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