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Fractions Decimals Percentages Conversions

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Fractions Decimals Percentages Conversions

Convert between fractions, decimals and percentages. Simplify fractions where possible. Show your working for calculation and word problems.

Convert between forms

1.Write 3/8 as a decimal and a percentage.
2.Write 7/20 as a decimal and a percentage.
3.Write 0.45 as a simplified fraction and a percentage.
4.Write 0.125 as a simplified fraction and a percentage.
5.Write 65% as a simplified fraction and a decimal.
6.Write 12% as a simplified fraction and a decimal.
7.Which three entries are equal to 3/4?
  • 0.75
  • 75%
  • 6/8
  • 0.34
  • 7.5%
8.Match each value on the left with its equivalent value on the right.
  • 1/5
  • 3/5
  • 1/4
  • 9/10
  • 25%
  • 90%
  • 20%
  • 0.6

Calculate percentages

9.Find 15% of 240.
10.Find 35% of 80.
11.Find 62.5% of 64.
12.A school has 360 students. If 30% take part in a lunchtime sports club, how many students is that?
13.A netball player scored 21 goals from 28 attempts. What percentage of the attempts were goals?
14.A backpack costs $56. It is reduced by 25%. How much is taken off the price, and what is the sale price?

Use and explain conversions

Fraction

Decimal

Percentage

2/5

0.4

40%

7/8

0.875

87.5%

3/10

0.3

30%

15.A walking track is 5/8 complete. Express the completed part as a decimal and a percentage.
16.A bottle is 3/10 full. What percentage of the bottle is still empty?
17.Describe the steps for changing 7/20 into a percentage.
18.A volleyball team won 18 of its 24 matches. Give the win rate as a simplified fraction, a decimal and a percentage.

4 printable pages

  • Fractions Decimals Percentages Conversions, page 1 of 4: Convert between forms

    Page 1

  • Fractions Decimals Percentages Conversions, page 2 of 4: Calculate percentages

    Page 2

  • Fractions Decimals Percentages Conversions, page 3 of 4: Use and explain conversions

    Page 3

  • Fractions Decimals Percentages Conversions, page 4 of 4: 18. A volleyball team won 18 of its 24 matches. Give the win rate as a simplified…

    Page 4

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