Skill: Convert fractions to percents

A percent tells how many parts there are out of $100$. To convert a fraction to a percent, rewrite it as an equivalent fraction with a denominator of $100$ when possible.

Example: Convert $\frac{7}{20}$ to a percent.

1. Make the denominator $100$:

$$20 \times 5=100$$

2. Multiply the numerator by the same number so the fraction keeps the same value:

$$\frac{7}{20}=\frac{7\times5}{20\times5}=\frac{35}{100}$$

3. A fraction with denominator $100$ directly shows the percent:

$$\frac{35}{100}=35\%$$

Therefore,

$$\boxed{\frac{7}{20}=35\%}$$

Multiplying both the numerator and denominator by the same number preserves the fraction’s value; it only rewrites the amount in “per 100” form.