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Door 8 · Grade 5

🔢 Multiplying Fractions

'Fraction of' an amount means multiply

▶ Play Door 8

Fraction of a Quantity & × a Whole Number

Finding a fraction of an amount means multiply. To find 1/3 of 9, divide 9 by 3 → 3.
To multiply a fraction by a whole number, multiply the numerator by the whole number: 1/2 × 4 = 4/2 = 2.

Worked example

Problem: Find 1/2 of 10.

  1. 10 ÷ 2 = 5.

Answer: 10 ÷ 2 = 5.

Multiplying a Fraction by a Fraction

To multiply two fractions, multiply the numerators and multiply the denominators:
1/2 × 1/2 = (1×1)/(2×2) = 1/4. So half of a half is a quarter.

Worked example

Problem: Multiply 1/2 × 1/3.

  1. (1×1)/(2×3) = 1/6.

Answer: (1×1)/(2×3) = 1/6.