How to Simplify Fractions? (+FREE Worksheet!)
Simplifying fractions means making the fractions as simple as possible. You can simplify fractions in a few simple steps. In this post, you will learn how to simplify fractions. So join us.

First of all, it is good to know that in simplifying fractions, the actual value of the fraction will not change.
Each fraction consists of two numbers. The number at the top of the fraction is called the numerator, and the number at the bottom of the fraction is called the denominator.
But how can you know if the fraction is as simple as possible? When a fraction is in its simplest form, its numerator and denominator can no longer be divided by the same whole number except \(1\).
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Related Topics
- How to Add and Subtract Fractions
- How to Multiply and Divide Fractions
- How to Add Mixed Numbers
- How to Multiply Mixed Numbers
- How to Divide Mixed Numbers
Step-by-step guide to Simplify Fractions
- Step 1: First, find the common factors of the numerator and denominator. Evenly divide both the top and bottom of the fraction by the common factors \(2, 3, 5, 7\), … etc.
- Step 2: You should divide the numerator and denominator by the common factors until they no longer be divided by the same whole number except \(1\). In this case, the fraction is as simple as possible.
Simplifying Fractions – Example 1:
Simplify. \( \frac{18}{24} \)
Solution:
To simplify \(\frac{18}{24}\) , find a number that both \(18\) and \(24\) are divisible by. Both are divisible by \( 6\) . Then: \(\frac{18}{24}=\frac{18 \ \div \ 6 }{24 \ \div \ 6 }=\frac{3}{4}\)
Simplifying Fractions – Example 2:
Simplify. \( \frac{72}{90} \)
Solution:
To simplify \(\frac{72}{90}\), find a number that both \(72\) and \(90\) are divisible by. Both are divisible by \(9\) and \( 18\). Then: \(\frac{72}{90}=\frac{72 \ \div 9}{ 90 \ \div \ 9 } =\frac{8}{10}\), \(8\) and \(10\) are divisible by \(2\), Then: \(\frac{8}{10}= \frac{8\ \div 2}{ 10 \ \div \ 2 }= \frac{4}{5}\)
or \(\frac{72}{90}=\frac{72 \ \div 18 }{90 \ \div 18}=\frac{4}{5}\)
Simplifying Fractions – Example 3:
Simplify. \( \frac{12}{20} \)
Solution:
To simplify \(\frac{12}{20}\), find a number that both \(12\) and \(20\) are divisible by. Both are divisible by \(4\). Then: \(\frac{12}{20}=\frac{12÷4}{20÷4}=\frac{3}{5}\)
Simplifying Fractions – Example 4:
Simplify. \( \frac{64}{80} \)
Solution:
To simplify \(\frac{64}{80}\), find a number that both \(64\) and \(80\) are divisible by. Both are divisible by \(8\) and \(16\). Then: \(\frac{64}{80}=\frac{64÷8}{80÷8}=\frac{8}{10}\) , \(8\) and \(10\) are divisible by \(2\), then: \(\frac{8}{10}= \frac{8\ \div 2}{ 10 \ \div \ 2 } =\frac{4}{5}\)
or \(\frac{64}{80}=\frac{64÷16}{80÷16}=\frac{4}{5}\)
Exercises for Simplifying Fractions
Simplify the fractions.
- \(\color{blue}{\frac{22}{36}}\)
- \(\color{blue}{\frac{8}{10}}\)
- \(\color{blue}{\frac{12}{18}}\)
- \(\color{blue}{\frac{6}{8}}\)
- \(\color{blue}{\frac{13}{39}}\)
- \(\color{blue}{\frac{5}{20}}\)
Download the Simplifying Fractions Worksheet

- \(\color{blue}{\frac{11}{18}}\)
- \(\color{blue}{\frac{4}{5}}\)
- \(\color{blue}{\frac{2}{3}}\)
- \(\color{blue}{\frac{3}{4}}\)
- \(\color{blue}{\frac{1}{3}}\)
- \(\color{blue}{\frac{1}{4}}\)
The Best Books to Ace Algebra
Related to This Article
More math articles
- The Ultimate 6th Grade MCAS Math Course (+FREE Worksheets)
- How to Graph the Cotangent Function?
- Top 10 Tips to Create a TSI Math Study Plan
- Solving Percentage Word Problems
- An In-depth Exploration of How to Find the Codomain
- Top 10 4th Grade STAAR Math Practice Questions
- How to Use Division Properties
- What Kind of Math Is on the Computer Science?
- How to Use the Law of Cosines to Find Angle Measure?
- 6th Grade OAA Math Worksheets: FREE & Printable
What people say about "How to Simplify Fractions? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.