Converting fractions to percentages

Method 1 - Convert to a fraction with a denominator of 100

You can convert fractions to percentages by first writing them with a denominator of 100.

\frac{6}{10} is equivalent to \frac{60}{100}, so \frac{6}{10} = 60\%.

\frac{1}{4} is equivalent to \frac{25}{100}, so \frac{1}{4}= 25\%.

Question

Write \frac{3}{5} as a percentage.

\frac{3}{5} = \frac{60}{100} = 60\% (multiply the top and bottom numbers by 20).

Method 2 - Convert to a decimal, then multiply by 100%

\frac{3}{8} = 3 \div 8 = 0.375

0.375\times 100\% = 37.5\% , so

\frac{3}{8} = 37.5\%.

Question

Write \frac{5}{8} as a percentage.

\frac{5}{8} = 0.625

0.625 \times 100\% = 62.5\%