Percentages are fractions with 100 as denominator
EXAMPLE 1
Change the following fractions to percentages
- 2/5 = 2/5 of 100 = 2/5 × 100 = 200 = 40%
5
EXAMPLE 2
Change these percentage to fractions
- 75% = 75 = 15 = 3
100 20 4
EXAMPLE 3
Change 7 ½% to fractions in their lowest terms
Solution
7 ½ % = 7 ½ out of 100
= 15/2 × 1/100
= (15 × 1) ÷ 200
= 15 ÷ 200 = 3/40
EXERCISE
Change the following fraction to percentage
- 2/5
- 2/4
- 3/30
Change to fractions in their lowest terms
- 66 ½ %
- 12 ¼ %
- 16 2/3 %
See also
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