Maths Library

Multiplying Fractions: Grade 5 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 5 (age 10 to 11) as a topic to introduce. 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.

  • 5.NF.B.4 Multiply a fraction by a whole number or another fraction and compute rectangular areas with fractional sides.

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 5 math

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

Answer key

  1. 247Multiply the numerator: 3 × 6 = 18; 18/7 = 247
  2. 4Multiply the numerator: 4 × 5 = 20; 20/5 = 4
  3. 35Multiply the numerator: 1 × 3 = 3; 3/5 = 35
  4. 225Multiply the numerator: 2 × 6 = 12; 12/5 = 225
  5. 115Multiply the numerator: 2 × 3 = 6; 6/5 = 115
  6. 113Multiply the numerator: 2 × 4 = 8; 8/6 = 113