Factors and Fractions

Converting Fractions, Decimals, and Percents

Convert between fractions, decimals, and percents. Divide to get the decimal, then multiply by one hundred to get the percent.

fraction-decimal-percent-convert To convert a fraction to decimal and percent: - Divide numerator by denominator to get decimal. - Multiply decimal by one hundred for percent.

Example

Convert 3/4 to a decimal and then to a percent.

highlighted = computed this step

Step 1 — Set up

Set up the expression.

34\frac{3}{4}
Show 3/4 as 3 shaded blocks out of 4 equal blocks.3/40.7575%75 of 100 small squares are shaded.

Step 2 — Divide

Divide numerator by denominator: 3 ÷ 4 = 0.75.

3÷4=0.753 \div 4 = \hl{0.75}
The shaded part is 0.75: 75 hundredths.3/40.7575%75 of 100 small squares are shaded.

Step 3 — Percent

Multiply the decimal: 0.75 x 100 = 75%.

0.75×100=75%0.75 \times 100 = \hl{75\%}
Percent means out of 100: 75 shaded out of 100.3/40.7575%75 of 100 small squares are shaded.

Step 4 — Result

Read the final result.

34=0.75=75%\frac{3}{4} = 0.75 = 75\%
The same shaded amount is 3/4, 0.75, and 75%.3/40.7575%75 of 100 small squares are shaded.