Maths worksheets · lesson 50 of 64 · free

Fractions and decimals: multiply and divide — Maths worksheet

To multiply fractions, multiply the numerators and multiply the denominators, then simplify. To divide by a fraction, turn it upside down (its reciprocal) and multiply. For decimals, multiply as whole numbers and count the decimal places; to divide by a decimal, move the point in both numbers until the divisor is whole.

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The method

Flip and multiply — “to divide by a fraction, multiply by its reciprocal”

  1. a/b × c/d = (a × c)/(b × d), then simplify. A whole number n is n/1.
  2. a/b ÷ c/d = a/b × d/c.
  3. Decimal × decimal: multiply as whole numbers; the answer has as many decimal places as both numbers together — 1.2 × 0.3 = 0.36.
  4. Decimal ÷ decimal: multiply both by 10 (or 100) first — 2.4 ÷ 0.6 = 24 ÷ 6 = 4.

Use it for: Recipes, sharing ribbons and land, prices of many items, and the fractions and decimals chapter of Class 7 maths.

🧮 Check your own sums with the free Fraction calculator — it shows the working.

Worked example: 3/4 ÷ 1/2 = 3/2

  1. Dividing by 1/2 is the same as multiplying by its reciprocal 2/1: 3/4 × 2/1 = 6/4.
  2. Simplify: 6/4 = 3/2.

Check: 3/2 × 1/2 = 3/4 ✓

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🏁 Lesson 50 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 7 Maths Worksheet: Fractions and Decimals

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