Dividing fractions · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Dividing fractions with keep-change-flip

Mathematics · Fractions · ages 11-12
Name ______________________   Date ____________

  1. Look at the bar. It has 8 equal parts with 3 shaded. Which fraction does it show?

    • 3/8
    • 8/3
    • 5/8

  2. To solve 2/5 ÷ 3/4, you flip 2/5 and then multiply.

    Circle one:   True   False

  3. Maya has 3/4 cup of raisins. She packs 1/8 cup of raisins into each bag of trail mix. How many bags can she fill?

    • 4
    • 6
    • 8
    • 12

  4. In keep-change-flip, what do you do to the second fraction?

    • Keep it the same
    • Flip it upside down (its reciprocal)
    • Add one to the numerator

  5. Which story matches 4/5 ÷ 2/5?

    • A jug has 4/5 litre. Each bottle holds 2/5 litre. How many bottles can be filled?
    • A jug has 4/5 litre. 2/5 litre is poured in. How much water is there now?
    • A jug has 4/5 litre shared equally between 2 friends. How much does each get?

  6. A fraction model shades 2/3 of a whole. If you split every shaded third into two smaller equal parts, how many 1/6 size pieces are shaded?

    • 2
    • 3
    • 4
    • 6

  7. What is 4 ÷ 1 1/3? Give your answer as a whole number.

    Answer: ______________

  8. Which shows the correct first step when you rewrite 5/6 ÷ 2/3 using keep-change-flip?

    • 5/6 × 3/2
    • 6/5 × 2/3
    • 5/6 × 2/3
    • 5/6 ÷ 3/2

  9. Priya solved 3/4 ÷ 1/2 by writing 3/4 x 1/2 = 3/8. What mistake did she make?

    • She flipped the first fraction instead of the second
    • She subtracted instead of multiplying
    • She forgot to flip the second fraction

  10. A carpenter has 7/8 m of wood. Each shelf needs 7/16 m. How many shelves can be cut?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Dividing fractions with keep-change-flip W1-mt_9Y96vxG_LH-s1

  1. 3/8 · 3 parts are shaded out of 8 equal parts, so the bar shows 3/8.
  2. False · Keep-change-flip keeps the first fraction the same. Only the second fraction gets flipped, giving 2/5 × 4/3.
  3. 6 · This is 3/4 ÷ 1/8. Flipping gives 3/4 × 8/1 = 24/4 = 6, so Maya fills 6 bags.
  4. Flip it upside down (its reciprocal) · The second fraction becomes its reciprocal. That is the flip step.
  5. A jug has 4/5 litre. Each bottle holds 2/5 litre. How many bottles can be filled? · Filling equal-size bottles from a total is a division story: how many groups of 2/5 fit inside 4/5.
  6. 4 · Splitting each third in half doubles the pieces: 2/3 = 4/6, so there are 4 pieces of size 1/6. This is the same as 2/3 ÷ 1/6 = 4.
  7. 3 · First turn 1 1/3 into the improper fraction 4/3. Then 4 ÷ 4/3 = 4/1 × 3/4 = 3.
  8. 5/6 × 3/2 · Keep 5/6, change ÷ to ×, and flip 2/3 into 3/2. That gives 5/6 × 3/2.
  9. She forgot to flip the second fraction · She multiplied without flipping 1/2. The correct working is 3/4 x 2/1 = 6/4 = 1 1/2.
  10. 2 · Keep 7/8, flip 7/16 to 16/7, multiply: 7/8 x 16/7 = 112/56 = 2.
Worksheet · LightMySky