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Fractions to Decimals

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Fractions to Decimals

Convert fractions and ratios to decimals, and decimals to percentages. Divide the numerator by the denominator. A terminating decimal ends; a repeating decimal continues in a pattern. A calculator may be used to check your working.

Choose and identify

1.What is 7/20 written as a decimal?
  • 0.35
  • 0.7
  • 0.28
  • 3.5
2.Convert 9/16 to a decimal.
  • 0.916
  • 0.5625
  • 0.59
  • 5.625
3.Treat the ratio 3:8 as 3 divided by 8. What decimal does it equal?
  • 0.375
  • 0.38
  • 2.67
  • 3.8
4.Which fractions give terminating decimals? Select all that apply.
  • 3/10
  • 2/9
  • 7/25
  • 5/12
5.Match each fraction with its decimal equivalent.
  • 1/8
  • 9/20
  • 7/10
  • 7/8
  • 0.875
  • 0.45
  • 0.7
  • 0.125

Calculate and apply

6.Write 11/25 as a decimal. Show how you worked it out.
7.Convert 17/20 to a decimal, then express that decimal as a percentage.
8.A rain jacket costs $84. It is discounted by 25%. Find the discount amount and the sale price.
9.Change 13/40 into a decimal and then a percentage.
10.Convert 7/12 to a decimal, rounded to three decimal places. Is the exact decimal terminating or repeating?
11.Order these values from least to greatest: 3/5, 0.58, 5/8. Give each value as a decimal before ordering.
0.550.560.570.580.590.60.610.620.630.640.65
12.Convert 5/6 to a decimal to three decimal places. State whether its decimal form terminates or repeats.

2 printable pages

  • Multiple-choice and matching practice converting fractions and ratios to decimals.

    Page 1

  • Short-answer practice converting fractions, percentages and a discount, with a number line for ordering decimals.

    Page 2

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