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Fractions Decimals Percentages Conversion
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Fractions Decimals Percentages Conversion
Convert between fractions, decimals and percentages. Simplify fractions where possible. Show working for calculation questions.
Core conversions
1.Write 3/5 as a decimal and as a percentage.
2.Which pair is equivalent to 3/4?
- 0.34 and 34%
- 0.75 and 75%
- 0.25 and 25%
- 0.8 and 80%
3.Convert 7/20 to a decimal and a percentage.
4.Convert 9/25 to a decimal. Show a calculation that helps you find the equivalent fraction with denominator 100.
5.Convert 0.42 to a percentage and to a fraction in simplest form.
Fractions greater than one and equivalent values
6.Convert the improper fraction 7/4 to a decimal and a percentage.
7.Convert the mixed number 2 3/8 to a decimal and a percentage.
8.Select every fraction that is equivalent to 0.45.
- 9/20
- 45/100
- 4/5
- 18/40
- 5/9
Use conversions to solve problems
9.A rain jacket costs $96. It is discounted by 15%. Find the discount and the sale price.
10.There are 28 students in a group. If 5/7 of them bring a packed lunch, how many students bring one?
11.A smoothie recipe uses 0.625 litres of yoghurt. Write this amount as a fraction in simplest form and as a percentage of one litre.
Compare and explain
12.Put these values in order from least to greatest: 0.38, 2/5, 35%, 3/8, 0.42.
13.Match each fraction to its decimal and percentage equivalent.
- 3/20
- 13/20
- 7/8
- 0.15 and 15%
- 0.875 and 87.5%
- 0.65 and 65%
14.Explain a method for changing a fraction into a percentage. Include an example using 3/8.
15.Explain why multiplying a decimal by 100 gives the matching percentage. Use 0.28 in your explanation.
3 printable pages
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