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Fraction Decimal Percentage Conversions

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Fraction Decimal Percentage Conversions

Convert carefully. Fractions should be in simplest form where requested. Show working for the word problems.

Convert between forms

1.Write 3/5 as a decimal.

2.Write 7/20 as a percentage.

3.Convert 0.45 to a fraction in simplest form.

4.Convert 125% to a decimal.

5.Write 9/25 as a decimal and as a percentage.

Use conversions in context

6.A $60 backpack is discounted by 25%. What fraction of the original price remains to pay, and what is the sale price?

7.A netball player made successful shots on 0.72 of her attempts. What percentage of her attempts were successful?

8.A smoothie recipe uses 3/8 of a litre of yoghurt. Write this amount as a decimal and as a percentage of one litre.

Choose and complete

9.Which decimal is equal to 7/8?

0.78
0.875
0.87
0.7

10.Which percentage is equal to 0.06?

0.6%
6%
60%
600%

11.Which fraction is equivalent to 45%?

9/20
4/5
1/45
5/9

12.Complete each row by filling in the two missing equivalent forms.

Fraction: 1/4

Decimal: ______

Percentage: ______

Fraction: ______

Decimal: 0.8

Percentage: ______

Fraction: ______

Decimal: ______

Percentage: 30%

Fraction: 7/20

Decimal: ______

Percentage: ______

Solve a problem

13.There are 320 tickets available for a community event. If 3/8 of the tickets have been sold, how many tickets is that? Give the fraction of all tickets sold as a decimal and as a percentage too.

14.Explain how to convert a decimal to a percentage. Include an example using 0.38.