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🍕 4th grade math · Fractions & Decimals

Break a fraction apart

A mixed number is wholes and a fraction together, like 1 1/2. 1 1/2 is the same as 3/2: one whole is 2 halves, plus 1 more half.

Worked example

Write it as a mixed number.
Answer: 125
Every 5 fifths make 1 whole. 7 ÷ 5 = 1 with 2 left over. So 75 = 125.

For grown-ups: Fractions as sums of unit fractions; decompose. 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 4.NF.B.3a
What this practises, for teachers

Practices fractions as sums of unit fractions; decompose (4.NF.B.3a). 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. Write it as a mixed number.
    Show the answer and how
    Answer: 126
    Every 6 sixths make 1 whole. 8 ÷ 6 = 1 with 2 left over. So 86 = 126.
  2. Write it as a mixed number.
    Show the answer and how
    Answer: 218
    Every 8 eighths make 1 whole. 17 ÷ 8 = 2 with 1 left over. So 178 = 218.
  3. Write it as a fraction.
    Show the answer and how
    Answer: 298
    Every 8 eighths make 1 whole. 29 ÷ 8 = 3 with 5 left over. So 298 = 358.

Before and after

Learn first: Compare any two fractions (4th)

Comes next: Add same denominators (4th)

Name: ____________________Date: ____________Score: ____ / 12

Break a fraction apart (4th grade)

  1. Write it as a mixed number.
  2. Write it as a fraction.
  3. Write it as a mixed number.
  4. Write it as a mixed number.
  5. Write it as a fraction.
  6. Write it as a fraction.
  7. Write it as a mixed number.
  8. Write it as a fraction.
  9. Write it as a mixed number.
  10. Write it as a mixed number.
  11. Write it as a fraction.
  12. Write it as a mixed number.

Answer key

  1. 348
  2. 104
  3. 148
  4. 223
  5. 195
  6. 95
  7. 338
  8. 218
  9. 246
  10. 235
  11. 198
  12. 126

More 4th grade skills: all 4th grade math skills, or every grade at math skills.