Converting Percents to Fractions

Introduction

Welcome back to Percent Foundations for Everyday Life! We are already on the third lesson of the course, so our percent skills are building nicely. In the first lesson we explored what percentages mean in daily life, and in the second we learned to convert between percents and decimals using a two-place shift. Today we take the next logical step: converting percents to fractions.

By the end of this lesson, we will be able to rewrite any percent as a fraction in its simplest form — whole-number percents, decimal percents, and even percents greater than 100% — giving us yet another way to express and compare quantities.

Why Fractions Are a Natural Next Step

As we may recall from earlier lessons, a percent is simply a number "out of 100." That phrase already sounds like a fraction: $25\%$ means $25$ out of $100$ , which is . Last time we divided that fraction to get a decimal (). This time, instead of dividing, we will the fraction itself.

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Percent	Fraction over 100
$40\%$	$\frac{40}{100}$
$75\%$	$\frac{75}{100}$
$6\%$	$\frac{6}{100}$

Percent	Fraction over 100	GCF	Simplest form
$10\%$	$\frac{10}{100}$	$10$	$\frac{1}{10}$
$20\%$	$\frac{20}{100}$	$20$	$\frac{1}{5}$
$25\%$	$\frac{25}{100}$	$25$	$\frac{1}{4}$
$50\%$	$\frac{50}{100}$	$50$	$\frac{1}{2}$
$75\%$	$\frac{75}{100}$	$25$	$\frac{3}{4}$
$80\%$	$\frac{80}{100}$	$20$	$\frac{4}{5}$