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🍕 6th grade math · Fractions & Decimals

Divide fractions

Dividing asks how many groups fit. How many 1/4s are in 3? Each whole holds 4 fourths. 3 wholes is 12 fourths, so 3 ÷ 1/4 = 12. A tape diagram shows the 12 pieces.

Worked example

How many 13s are in 1? (Find 1 ÷ 13.)
01
Answer: 3
Cut every whole into 3 pieces. 1 is 3 pieces of 13. Each group is 1 of those pieces, so 3 ÷ 1 = 3. Answer: 3 groups.

For grown-ups: Divide fraction ÷ fraction. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.NS.A.1
What this practises, for teachers

Practices divide fraction ÷ fraction (6.NS.A.1). A printable sheet with its answer key, worked answers on the page, no accounts.

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For your class

🖨️ Printable sheet and key

On the board with this skill:

More printables, with answer keys, for this grade:

Try three

  1. How many 14s are in 3? (Find 3 ÷ 14.)
    0123
    Show the answer and how
    Answer: 12
    Cut every whole into 4 pieces. 3 is 12 pieces of 14. Each group is 1 of those pieces, so 12 ÷ 1 = 12. Answer: 12 groups.
  2. How many 34s are in 3? (Find 3 ÷ 34.)
    0123
    Show the answer and how
    Answer: 4
    Cut every whole into 4 pieces. 3 is 12 pieces of 14. Each group is 3 of those pieces, so 12 ÷ 3 = 4. Answer: 4 groups.
  3. How many 45s are in 8? (Find 8 ÷ 45.)
    012345678
    Show the answer and how
    Answer: 10
    Cut every whole into 5 pieces. 8 is 40 pieces of 15. Each group is 4 of those pieces, so 40 ÷ 4 = 10. Answer: 10 groups.

Before and after

Learn first: Divide with unit fractions (5th)

Comes next: Negative fractions (7th)

Name: ____________________Date: ____________Score: ____ / 12

Divide fractions (6th grade)

  1. How many 14s are in 1? (Find 1 ÷ 14.)
    01
  2. How many 12s are in 1? (Find 1 ÷ 12.)
    01
  3. How many 14s are in 4? (Find 4 ÷ 14.)
    01234
  4. How many 16s are in 2? (Find 2 ÷ 16.)
    012
  5. How many 14s are in 4? (Find 4 ÷ 14.)
    01234
  6. How many 45s are in 4? (Find 4 ÷ 45.)
    01234
  7. How many 25s are in 4? (Find 4 ÷ 25.)
    01234
  8. How many 37s are in 9? (Find 9 ÷ 37.)
  9. How many 38s are in 3? (Find 3 ÷ 38.)
    0123
  10. How many 25s are in 2? (Find 2 ÷ 25.)
    012
  11. How many 56s are in 15? (Find 15 ÷ 56.)
  12. How many 34s are in 3? (Find 3 ÷ 34.)
    0123

Answer key

  1. 4
  2. 2
  3. 16
  4. 12
  5. 16
  6. 5
  7. 10
  8. 21
  9. 8
  10. 5
  11. 18
  12. 4

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