Fractions · lesson 7 of 24 · free

Equivalent fractions — Fractions for kids

1/2, 2/4 and 4/8 of a chocolate bar are the same amount — they are equivalent fractions. You make them by multiplying (or dividing) the top and the bottom by the same number.

▶ Watch how it works

Got it? Practise ↓

The method

Same to top and bottom — “multiply or divide the top and the bottom by the same number”

  1. Find what the known bottom (or top) was multiplied or divided by.
  2. Do the same to the other number.
  3. Never add the same number to top and bottom — that changes the fraction.

Use it for: Simplifying, comparing, adding and subtracting fractions, and recipes that are doubled or halved.

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

Worked example: 2/3 = ?/12 → 8

  1. The bottom 3 became 12: 3 × 4 = 12.
  2. Multiply the top by the same number: 2 × 4 = 8.

Check: Cross-multiply: 2 × 12 = 24 and 3 × 8 = 24 ✓

▶ 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 7 test

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

🏅 Sign in with Google to earn the 🪞 Equivalence Explorer badge when you pass — and a certificate when you finish all 6 lessons of Part 2 · Equivalent fractions and comparing. You can still take the test without signing in.

🖨️ Equivalent Fractions Worksheet

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