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Fractions Decimals Percentages Equivalences
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Fractions Decimals Percentages Equivalences
Write each answer clearly. Simplify fractions where possible. Show working for conversion and problem-solving questions.
Equivalent forms
1.Complete the equivalent values: 3/5 = as a decimal = %.
2.Complete the equivalent values: 0.4 = as a fraction in simplest form = %.
3.Complete the equivalent values: 35% = as a decimal = as a fraction in simplest form.
4.Complete the equivalent values: 7/8 = as a decimal = %.
5.Select every value equivalent to 0.45.
- 45%
- 9/20
- 4.5%
- 45/100
- 5/9
6.Which option gives all the fractions equivalent to 60%?
- 3/5 only
- 6/10 only
- 3/5 and 6/10
- 2/3 and 6/10
7.Arrange these values from least to greatest: 0.68, 3/4, 72%, 7/10.
Convert and explain
8.Convert each fraction to a decimal and a percentage: (a) 13/20; (b) 3/8; (c) 17/100.
9.The label on a hardware-store tool says 15% off. Write the discount as (a) a decimal and (b) a fraction in simplest form.
10.At a hardware store, 0.32 of the paint tins sold in one morning were white. What percentage of the tins sold were white?
11.Show how to convert 7/20 to a percentage. Include a method that makes the denominator 100.
Use equivalences in context
12.Arjun's team won 15 of the 24 matches it played. Write its win rate as (a) a fraction in simplest form, (b) a decimal, and (c) a percentage.
13.Match each hardware-store description to its fraction, decimal, and percentage.
- A half-price tool offer
- 25 cents for each dollar
- Three items out of every ten
- Three-quarters of a roll of tape
- 3/10, 0.3, 30%
- 3/4, 0.75, 75%
- 1/4, 0.25, 25%
- 1/2, 0.5, 50%
14.A measuring strip is divided into 8 equal parts, with 5 parts shaded. Write the shaded amount as a fraction, a decimal, and a percentage.
3 printable pages
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