Skill: Convert simple fractions to percents

Explanation and Free Practice Resources

Percent represents a fraction with a denominator of 100, so converting a simple fraction involves finding an equivalent fraction out of 100 or converting its decimal form and multiplying by 100; for example, $\frac14=\frac{25}{100}=25\%$ . Understanding that the whole is 100% prevents confusing a fraction’s denominator with its percent value and supports proportional reasoning; this scope focuses on common fractions with terminating decimal or convenient equivalent forms, not repeating decimals or more complex general cases.

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Detailed Explanation: Convert simple fractions to percents

A percent tells how many parts there are out of $100$ . To convert a fraction to a percent, make an equivalent fraction with a denominator of $100$ .

Example: Convert $\frac{3}{5}$ to a percent.

Ask: What number times $5$ equals $100$ ?

5 \times 20=100

Multiply the numerator by the same number:

\frac{3}{5}=\frac{3\times20}{5\times20}=\frac{60}{100}

A fraction out of $100$ can be written as a percent:

\frac{60}{100}=60\%

Therefore,

\boxed{\frac{3}{5}=60\%}

Remember: the denominator $100$ means the whole is divided into $100$ equal parts, so the numerator tells the percent.

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Fraction to Percents - Standard

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