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Percentage Fraction Decimal Conversions
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Percentage Fraction Decimal Conversions
Write each value in the form requested. Simplify fractions where possible. Show working for the real-life problems.
Convert between percentages, decimals and fractions
1.Write 38% as a decimal.
2.Write 6.5% as a decimal.
3.Write 1.35 as a percentage.
4.Write 0.008 as a percentage.
5.Convert 7/20 to a percentage. Use the fraction bar to help you think about equal parts.
6.Convert 11/25 to a percentage.
7.Convert 9/8 to a percentage.
8.Write 0.42 as a fraction in simplest form.
9.Convert 62.5% to a fraction in simplest form.
Choose and match equivalent values
10.Which option gives three equivalent ways to write 35%?
- 0.35, 7/20 and 35/100
- 3.5, 7/2 and 35/10
- 0.035, 7/200 and 35/1000
- 0.53, 35/20 and 53/100
11.Which percentage is equal to 0.007?
- 0.07%
- 0.7%
- 7%
- 70%
12.A circle is divided into 8 equal sectors, and 5 sectors are shaded. Which fraction and percentage describe the shaded part?
- 5/8 and 62.5%
- 5/8 and 58%
- 3/8 and 37.5%
- 8/5 and 160%
13.Match each percentage to its equivalent decimal and simplest fraction.
- 12.5%
- 45%
- 80%
- 150%
- 0.8 and 4/5
- 0.125 and 1/8
- 0.45 and 9/20
- 1.5 and 3/2
Apply your conversions
14.A pair of trainers costs $120 before a 15% discount. Find the discount amount and the price after the discount.
15.A survey of 40 students finds that 26 cycle to school at least once a week. What percentage of the students is this?
16.Harrison has completed 0.72 of a training course. Express this amount as a percentage and as a fraction in simplest form.
17.Explain how to convert a decimal to a percentage, and use 0.064 as an example.
3 printable pages
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