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Fraction Decimal Percentage Conversions
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Fraction Decimal Percentage Conversions
Convert between fractions, decimals and percentages. Simplify fractions where possible. Show working for the word problems.
Convert between forms
1.Write 7/20 as a decimal and as a percentage.
2.Convert 9/25 to a decimal and a percentage.
3.Write 0.42 as a simplified fraction and as a percentage.
4.Convert 1.35 to a fraction in simplest form and to a percentage.
5.Write 62% as a decimal and as a fraction in simplest form.
6.Express 8% as a decimal and as a fraction in simplest form.
Equivalent values
7.Which option gives both the decimal and percentage equal to 3/8?
- 0.38
- 0.375
- 37.5%
- Both 0.375 and 37.5%
8.Which fraction is equal to 0.28?
- 7/20
- 7/25
- 14/25
- 28/10
9.Select every value equivalent to 3/5.
- 0.6
- 60%
- 6/10
- 0.06
- 3/50
10.Match each value in the left column with its equivalent in the right column.
- 7/10
- 1/8
- 9/20
- 3/25
- 13/50
- 0.7
- 0.12
- 0.45
- 0.26
- 0.125
11.The bar shows a fraction of one whole. Write the shaded amount as a fraction, a decimal and a percentage.
Conversions in context
12.A rain jacket is marked down by 15% from its original price of NZ$120. What is the sale price?
13.A survey of 80 people found that 3/5 preferred cycling to work. How many people is that, and what percentage of those surveyed is it?
14.A drink bottle holds 0.625 litres. Give this amount as a fraction of a litre in simplest form.
15.A netball team won 14 of its 20 games. What fraction of its games did it win, in simplest form, and what percentage is this?
16.Explain how you can use place value to show that 0.32 and 32% represent the same amount. Include a fraction in your explanation.
3 printable pages
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