Fractions · lesson 10 of 24 · free

Comparing unlike fractions — Fractions for kids

When the tops and bottoms are all different, like 3/4 and 5/7, cross-multiply: 3 × 7 = 21 and 5 × 4 = 20. The fraction on the side of the bigger product is bigger. Equal products mean equivalent fractions.

▶ Watch how it works

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The method

Cross-multiply — “top of each × bottom of the other; the bigger product belongs to the bigger fraction”

  1. Multiply the first top by the second bottom.
  2. Multiply the second top by the first bottom.
  3. Bigger product → bigger fraction; equal products → the fractions are equal.

Use it for: Comparing unlike fractions in Class 5–7, best-buy questions, and Olympiad comparison questions.

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

Worked example: Which is greater: 3/4 or 5/7? → 3/4

  1. Cross-multiply: 3 × 7 = 21 and 5 × 4 = 20.
  2. 21 > 20, so 3/4 > 5/7.

Check: 3/4 = 21/28 and 5/7 = 20/28 ✓

▶ Watch it animated

✏️ Practice

Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.

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🏁 Lesson 10 test

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

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🖨️ Comparing Unlike Fractions Worksheet

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