Fractions to Percentages

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.

$$\frac{a}{b} \rightarrow \left(\frac{a}{b}\right) \times 100\%$$

Examples

• $\frac{1}{2} = 0.5 = 50\%$
• $\frac{3}{4} = 0.75 = 75\%$
• $\frac{2}{5} = 0.4 = 40\%$

Shortcut for “Out of 100”

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

Example:

$$\frac{3}{5} = \frac{3 \times 20}{5 \times 20} = \frac{60}{100} = 60\%$$

Common Fractions Table

Fraction	Decimal	Percent
1/2	0.5	50%
1/3	0.333…	33.33%
2/3	0.666…	66.67%
1/4	0.25	25%
3/4	0.75	75%
1/5	0.2	20%
2/5	0.4	40%
3/5	0.6	60%
4/5	0.8	80%

Related Tools

• Percentage Calculator - Calculate percentages instantly
• Calculator - Do quick fraction division