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Fractions to Decimals Conversion

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Fractions to Decimals Conversion

Convert each value as requested. Simplify fractions when possible, and show your calculations for written problems.

Fraction and Decimal Models

A fraction can be converted to a decimal by dividing the numerator by the denominator. A terminating decimal can be written as a fraction over 10, 100, or 1,000, then simplified.

1.The bar is split into 8 equal parts. What decimal is represented by the 3 shaded parts?

Fractions to Decimals

Use division or an equivalent fraction to find each decimal.

2.Write 5/8 as a decimal. Show a calculation that supports your answer.
3.Convert 7/20 to a decimal.
4.Which decimal has the same value as 3/8?
  • 0.38
  • 0.375
  • 0.83
  • 3.8
5.Convert 9/25 to a decimal.
6.Write 11/20 as a decimal.
7.Convert 7/12 to a decimal rounded to the nearest thousandth.
8.Match each fraction to its decimal equivalent.
  • 1/4
  • 4/5
  • 3/10
  • 13/20
  • 0.65
  • 0.25
  • 0.8
  • 0.3

Decimals to Fractions

Write each decimal as a fraction and simplify unless the question asks for a different form.

9.Write 0.45 as a fraction in simplest form. Show how you simplified it.
10.Which fraction in simplest form is equal to 0.7?
  • 7/100
  • 7/10
  • 70/10
  • 1/7
11.Convert 0.125 to a fraction in simplest form.
12.Write 0.84 as a fraction in simplest form.
13.A bottle contains 0.375 liter of water. Express 0.375 as a fraction in simplest form.
14.Write 1.6 as a mixed number in simplest form.
15.Explain how you can change 0.32 into a fraction in simplest form. Include the fraction before simplifying and the final answer.

3 printable pages

  • Fractions to Decimals Conversion, page 1 of 3: Fraction and Decimal Models, Fractions to Decimals

    Page 1

  • Fractions to Decimals Conversion, page 2 of 3: Decimals to Fractions

    Page 2

  • Fractions to Decimals Conversion, page 3 of 3: 13. A bottle contains 0.375 liter of water. Express 0.375 as a fraction in simplest form.

    Page 3

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