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Converting fractions and decimals worksheet

Grade 7 math, Common Core 7.NS.A.2d. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Converting fractions and decimals

Grade 7 math, Common Core 7.NS.A.2d

Write each fraction as a decimal, or each decimal as a fraction in simplest form.

  1. 1.
    Write 1415 as a decimal.
  2. 2.
    Write 1.59 as a fraction in simplest form.
  3. 3.
    Write 58 as a decimal.
  4. 4.
    Write 611 as a decimal.
  5. 5.
    Write 15 as a decimal.
  6. 6.
    Write 1.17 as a fraction in simplest form.
  7. 7.
    Write 38 as a decimal.
  8. 8.
    Write 1.12 as a fraction in simplest form.
  9. 9.
    Write 12 as a decimal.
  10. 10.
    Write 0.91 as a fraction in simplest form.
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Converting fractions and decimals

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. 0.9333… (the 3 repeats)

    14 ÷ 15 = 0.9333…

  2. 2. 159100 = 1 59100

    1.59 = 159100

  3. 3. 0.625

    5 ÷ 8 = 0.625

  4. 4. 0.5454… (the 54 repeats)

    6 ÷ 11 = 0.5454…

  5. 5. 0.2

    1 ÷ 5 = 0.2

  6. 6. 117100 = 1 17100

    1.17 = 117100

  7. 7. 0.375

    3 ÷ 8 = 0.375

  8. 8. 2825 = 1 325

    1.12 = 112100 = 2825

  9. 9. 0.5

    1 ÷ 2 = 0.5

  10. 10. 91100

    0.91 = 91100

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About converting fractions and decimals

To change a fraction to a decimal, divide the top by the bottom: 38 = 3 ÷ 8 = 0.375. Some fractions give a decimal that stops, and others repeat forever, like 13 = 0.333…. To change a decimal to a fraction, write the digits over 10, 100 or 1,000 and simplify.

Worked example 1

Write 0.457 as a fraction in simplest form.
  1. Step 1.0.457 = 4571,000

Answer: 4571,000

Worked example 2

Write 34 as a decimal.
  1. Step 1.3 ÷ 4 = 0.75

Answer: 0.75

Worked example 3

Write 112 as a decimal.
  1. Step 1.1 ÷ 12 = 0.08333…

Answer: 0.08333… (the 3 repeats)

Watch out for

  • Fractions whose denominator has only 2s and 5s as factors give decimals that stop.
  • Count decimal places: 0.45 is 45 hundredths, or 45100.
  • Always simplify the fraction at the end.

Practice converting fractions and decimals online

On StudyWiz, your kid can practice converting fractions and decimals with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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