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Fractions to Percentages

To convert a fraction to a percentage:

  1. Divide the numerator by the denominator to get a decimal.
  2. Multiply by 100.
ab(ab)×100%\frac{a}{b} \rightarrow \left(\frac{a}{b}\right) \times 100\%
  • 12=0.5=50%\frac{1}{2} = 0.5 = 50\%
  • 34=0.75=75%\frac{3}{4} = 0.75 = 75\%
  • 25=0.4=40%\frac{2}{5} = 0.4 = 40\%

If you can scale the denominator to 100, you can convert mentally.

Example:

35=3×205×20=60100=60%\frac{3}{5} = \frac{3 \times 20}{5 \times 20} = \frac{60}{100} = 60\%
FractionDecimalPercent
1/20.550%
1/30.333…33.33%
2/30.666…66.67%
1/40.2525%
3/40.7575%
1/50.220%
2/50.440%
3/50.660%
4/50.880%