Maths Library

Multiplying Fractions: Year 7 maths

Students calculate products of pairs of fractions, whole numbers and fractions, and mixed numbers. The worksheet reinforces cross-cancelling common factors to simplify before or after multiplying.

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What this covers

Multiplying Fractions is taught in Year 7 (age 11 to 12, KS3) as a main teaching focus. It sits in the Fractions strand.

Worked example

Calculate 35 × 27.

  1. Multiply the numerators: 3 × 2 = 6.
  2. Multiply the denominators: 5 × 7 = 35.
  3. Check if 635 can be simplified; it is already in lowest terms.

Answer: 635

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Multiplying a unit fraction by a whole number or another unit fraction
  2. Multiplying two proper fractions with denominators under 10, no simplifying needed
  3. Multiplying proper fractions requiring cross-simplification
  4. Multiplying whole numbers and mixed numbers
  5. Multiplying two mixed numbers, simplifying the final result

Common mistakes

  • Cross-multiplying numerators and denominators instead of multiplying across
  • Attempting to find a common denominator before multiplying

Curriculum links

Indicative matches to National Curriculum for England. Check wording and codes against the official document.

  • Multiply and divide proper and improper fractions and mixed numbers.

Sample sheet and answers

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

Multiplying Fractions

Year 7 maths

Qs
6
Marks
12
NameDateScore / 12
1.
37 × 15 =
[2]
2.
45 × 37 =
[2]
3.
15 × 23 =
[2]
4.
25 × 47 =
[2]
5.
25 × 26 =
[2]
6.
26 × 24 =
[2]

Answer key

  1. 335Multiply the tops and the bottoms: 3/35; Simplified: 335
  2. 1235Multiply the tops and the bottoms: 12/35; Simplified: 1235
  3. 215Multiply the tops and the bottoms: 2/15; Simplified: 215
  4. 835Multiply the tops and the bottoms: 8/35; Simplified: 835
  5. 215Multiply the tops and the bottoms: 4/30; Simplified: 215
  6. 16Multiply the tops and the bottoms: 4/24; Simplified: 16