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🍕 7th grade math · Fractions & Decimals

Fractions into decimals

A fraction is a division: 3/8 = 3 ÷ 8 = 0.375. Or make the bottom 10, 100 or 1000: 7/20 = 35/100 = 0.35. Keep the sign: −7/20 = −0.35.

Worked example

Write 12 as a decimal: ?
Answer: 0.5
A fraction is the top divided by the bottom. 12 means 1 ÷ 2. One way: 2 × 5 = 10, so 12 = 12 = 0.5. Answer: 0.5.

For grown-ups: Convert fractions to decimals by long division; terminating vs. repeating. 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 7.NS.A.2d
What this practises, for teachers

Practices convert fractions to decimals by long division; terminating vs. repeating (7.NS.A.2d). 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:

Try three

  1. Write 110 as a decimal: ?
    Show the answer and how
    Answer: 0.1
    A fraction is the top divided by the bottom. 110 means 1 ÷ 10. The bottom is already 10, so 110 = 0.1. Answer: 0.1.
  2. Write 310 as a decimal: ?
    Show the answer and how
    Answer: 0.3
    A fraction is the top divided by the bottom. 310 means 3 ÷ 10. The bottom is already 10, so 310 = 0.3. Answer: 0.3.
  3. Write −18 as a decimal: ?
    Show the answer and how
    Answer: −0.125
    A fraction is the top divided by the bottom. 18 means 1 ÷ 8. One way: 8 × 125 = 1000, so 18 = 18 = 0.125. The number is negative, so the decimal is too. Answer: −0.125.

Before and after

Learn first: Decimals the fast way (6th)

Comes next: Irrational numbers (8th)

Name: ____________________Date: ____________Score: ____ / 12

Fractions into decimals (7th grade)

  1. Write 25 as a decimal: ?
  2. Write 710 as a decimal: ?
  3. Write 12 as a decimal: ?
  4. Write 15 as a decimal: ?
  5. Write 2950 as a decimal: ?
  6. Write 45 as a decimal: ?
  7. Write 720 as a decimal: ?
  8. Write 110 as a decimal: ?
  9. Write 1125 as a decimal: ?
  10. Write −110 as a decimal: ?
  11. Write −1920 as a decimal: ?
  12. Write −910 as a decimal: ?

Answer key

  1. 0.4
  2. 0.7
  3. 0.5
  4. 0.2
  5. 0.58
  6. 0.8
  7. 0.35
  8. 0.1
  9. 0.44
  10. −0.1
  11. −0.95
  12. −0.9

More 7th grade skills: all 7th grade math skills, or every grade at math skills.