Master

Percents & Fractions

Master percents & fractions with interactive lessons and practice problems! Designed for students like you!

Learn

Get the basics

Practice

Apply your skills

Master

Achieve excellence

Percents & Fractions

Study Guide

Key Definition

A percent represents a fraction of 100. For example, $28\%$ is $\frac{28}{100}$ or $0.28$.

Important Notes

To convert a percent to a fraction, use $\frac{\text{percent}}{100}$
Simplify fractions by dividing by the greatest common factor
$40\%$ becomes $\frac{2}{5}$ when simplified
Percents greater than 100 are possible, representing values over a whole
Understanding percents helps in real-life scenarios like discounts and statistics

Mathematical Notation

$\%$ represents percent

$\frac{a}{b}$ represents a fraction

$\times$ or $*$ represents multiplication

$\div$ or $/$ represents division

Remember to use proper notation when solving problems

Why It Works

Converting percents to fractions helps in simplifying calculations and understanding proportions with $\frac{a}{b}$.

Remember

Use $\frac{\text{percent}}{100}$ to convert percents to fractions easily.

Quick Reference

Convert 5\%:$\frac{1}{20}$

Convert 40\%:$\frac{2}{5}$

Understanding Percents & Fractions

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

A percent is simply a fraction with a denominator of 100. For instance, $5\%$ is $\frac{5}{100}$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is $25\%$ as a fraction in simplest form?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You have $75\%$ of your homework done. What fraction of your homework is left to do?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

If $60\%$ of a class passed an exam, what fraction of the class failed?

Challenge Quiz

Single Choice Quiz

Advanced

Convert $125\%$ to a fraction.

Recap

Watch & Learn

Review key concepts and takeaways