Eighths
- 1/8 = 0.125 = 12.5%
- 3/8 = 0.375 = 37.5%
- 5/8 = 0.625 = 62.5%
- 7/8 = 0.875 = 87.5%
Thirds and sixths
- 1/6 = 16 2/3%
- 1/3 = 33 1/3%
- 2/3 = 66 2/3%
- 5/6 = 83 1/3%
Ninths and elevenths
Ninths repeat the numerator: 4/9 = 0.444... and 7/9 = 0.777... Elevenths repeat 9 times the numerator: 1/11 = 0.0909..., 3/11 = 0.2727..., and 5/11 = 0.4545...
Use fractions to find percents
When a percent matches a friendly fraction, switch to the fraction. 87.5% of 48 is 7/8 of 48. Since 48 / 8 = 6, the answer is 6 x 7 = 42.
Practice problems
- 3/8 as a percent
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1/8 = 12.5%, so 3/8 = 37.5% (and 7/8 = 87.5%).
- 5/6 as a percent
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1/6 = 16 2/3%, so 5/6 = 83 1/3%.
- 37.5% of 64
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37.5% is 3/8, and 3/8 of 64 = 24.
References
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