Maths Library

Adding and Subtracting Fractions: Grade 7 math

Pupils practise addition and subtraction of fractions with both like and unlike denominators. The exercises build from simple common denominator sums up to operations involving mixed numbers.

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What this covers

Adding and Subtracting Fractions is taught in Grade 7 (age 12 to 13) as a main teaching focus. It sits in the Fractions strand.

Worked example

Calculate 23 + 14.

  1. Find a common denominator: the lowest common multiple of 3 and 4 is 12.
  2. Convert each fraction: 23 = 812 and 14 = 312.
  3. Add the numerators: 812 + 312 = 1112.

Answer: 1112

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Adding and subtracting fractions with identical denominators under 12
  2. Operations where one denominator is a multiple of the other
  3. Operations with unlike denominators requiring a common multiple up to 24
  4. Addition and subtraction resulting in improper fractions that must be simplified
  5. Adding and subtracting mixed numbers with regrouping

Common mistakes

  • Adding both numerators and denominators together (e.g. 1/3 + 1/3 = 2/6)
  • Subtracting the smaller whole number from the larger without regrouping fractional parts

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 7.NS.A.1 Add and subtract rational numbers including positive and negative fractions, decimals, and integers.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Adding and Subtracting Fractions

Grade 7 math

Qs
6
Marks
18
NameDateScore / 18
1.
22 − 26 =
[3]
2.
26 + 23 =
[3]
3.
19 + 62 =
[3]
4.
35 − 27 =
[3]
5.
79 − 14 =
[3]
6.
711 + 16 =
[3]

Answer key

  1. 23Common denominator 6; 6/6 − 2/6 = 4/6
  2. 1Common denominator 6: 2/6 + 4/6; = 6/6, which simplifies to 1
  3. 319Common denominator 18: 2/18 + 54/18; = 56/18, which simplifies to 319
  4. 1135Common denominator 35; 21/35 − 10/35 = 11/35
  5. 1936Common denominator 36; 28/36 − 9/36 = 19/36
  6. 5366Common denominator 66: 42/66 + 11/66; = 53/66, which simplifies to 5366