Fractions · lesson 21 of 24 · free

Dividing fractions: keep, change, flip — Fractions for kids

Dividing by a fraction is multiplying by its reciprocal (the fraction turned upside down). 3/4 ÷ 1/2 asks “how many halves fit in 3/4?” — 3/4 × 2/1 = 3/2, one and a half.

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The method

Keep, change, flip — “keep the first fraction, change ÷ to ×, flip the second”

  1. Keep the first fraction.
  2. Change ÷ to ×.
  3. Flip the second fraction (÷ 5 becomes × 1/5), multiply and simplify.

Use it for: “How many pieces?” questions — ribbons, rope, servings — and division of fractions in Class 6–8.

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

Worked example: 3/4 ÷ 1/2 = 3/2

  1. Keep, change, flip: 3/4 × 2/1.
  2. Top × top: 3 × 2 = 6. Bottom × bottom: 4 × 1 = 4: 6/4.
  3. Simplify: divide the top and the bottom by 2: 6/4 = 3/2.

Check: 3/2 × 1/2 = 3/4 ✓

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✏️ Practice

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🏁 Lesson 21 test

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

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🖨️ Dividing Fractions Worksheet

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