Maths worksheets · lesson 35 of 64 · free

Fractions: unlike fractions and fraction of a number — Maths worksheet

Fractions with different denominators cannot be added straight away. First change them into equivalent fractions with the same denominator (the LCM of the two denominators): 1/2 + 1/3 = 3/6 + 2/6 = 5/6. To find a fraction of a number, divide by the denominator and multiply by the numerator: 3/4 of 20 = 20 ÷ 4 × 3 = 15.

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The method

Common denominator — “change both fractions to the same denominator, then add, subtract or compare”

  1. Find a common denominator (the LCM of the denominators).
  2. Change each fraction: multiply top and bottom by the same number.
  3. Add or subtract the numerators; simplify the answer.
  4. Fraction of a number: ÷ denominator, then × numerator.

Use it for: Recipes, sharing land or time, and the fractions chapter of Class 5 maths.

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

Worked example: 1/2 + 1/3 = 5/6

  1. Common denominator 6: 1/2 = 3/6 and 1/3 = 2/6.
  2. 3/6 + 2/6 = 5/6.

Check: 5/6 − 1/3 = 5/6 − 2/6 = 3/6 = 1/2 ✓

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🏁 Lesson 35 test

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

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🖨️ Class 5 Maths Worksheet: Fractions

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