# Percent to Fraction

To convert a percent to a fraction, we remove the ‘%’ sign, divide by 100, and then simplify the resulting fraction.

Let us convert 75% to a fraction.

Removing the ‘%’ Sign and Dividing by 100

75% = ${\dfrac{75}{100}}$

Simplifying

${\dfrac{75\div 25}{100\div 25}}$ = ${\dfrac{3}{4}}$

Thus, 75% = ${\dfrac{3}{4}}$

Here are some more percent-to-fraction conversions.

20% = ${\dfrac{20}{100}}$ = ${\dfrac{20\div 20}{100\div 20}}$ = ${\dfrac{1}{5}}$

40% = ${\dfrac{40}{100}}$ = ${\dfrac{40\div 20}{100\div 20}}$ = ${\dfrac{2}{5}}$

60% = ${\dfrac{60}{100}}$ = ${\dfrac{60\div 20}{100\div 20}}$ = ${\dfrac{3}{5}}$

80% = ${\dfrac{80}{100}}$ = ${\dfrac{80\div 20}{100\div 20}}$ = ${\dfrac{4}{5}}$

## For Mixed Numbers

To convert mixed numbers, we first convert them to improper fractions, remove the % sign, and divide by 100.

Let us now convert ${1\dfrac{2}{5}}$ %

Converting the Mixed Number to an Improper Fraction

${1\dfrac{2}{5}}$ % = ${\dfrac{\left( 1\times 5\right) +2}{5}}$ % = ${\dfrac{7}{5}}$ %

Removing the ‘%’ Sign and Dividing by 100

${\dfrac{\dfrac{7}{5}}{100}}$

= ${\dfrac{7}{5}\times \dfrac{1}{100}}$

= ${\dfrac{7}{500}}$, which can not be simplified or reduced further.