Maths Library

Multiplying Fractions: Grade 7 math

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 Grade 7 (age 12 to 13) 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 Common Core State Standards. Check wording and codes against the official document.

  • 7.NS.A.2 Multiply and divide rational numbers, converting between fractional and decimal representations.

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

Grade 7 math

Qs
6
Marks
18
NameDateScore / 18
1.
37 × 15 =
[3]
2.
45 × 37 =
[3]
3.
15 × 23 =
[3]
4.
25 × 47 =
[3]
5.
25 × 26 =
[3]
6.
26 × 24 =
[3]

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