# 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

- Top 10 Tips to ACE the CBEST Math Test
- FREE 3rd Grade MCAS Math Practice Test
- How to Find the Increasing or Decreasing Functions?
- How to Find the Central Angle of a Circle?
- 10 Famous Math Problems and the History Behind Them
- Math Assessment Test for College
- What Kind of Math Is on the GRE?
- The Ultimate 7th Grade NSCAS Math Course (+FREE Worksheets)
- 7th Grade WY-TOPP Math Worksheets: FREE & Printable
- 4th 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.