# How to Simplify Fractions

In this post, you will learn how to simplify fractions. You can simplify fractions in a few simple steps.

## Step by step guide to Simplify Fractions

• Evenly divide both the top and bottom of the fraction by $$2, 3, 5, 7$$ , … etc.
• Continue until you can’t go any further.

### 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: $$\frac{8}{10}=\frac{4}{5}$$
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: $$\frac{8}{10}=\frac{4}{5}$$
or $$\frac{64}{80}=\frac{64÷16}{80÷16}=\frac{4}{5}$$

## Exercises for Simplifying Fractions

### Simplify the fractions.

• $$\color{blue}{\frac{22}{36}}$$
• $$\color{blue}{\frac{8}{10}}$$
• $$\color{blue}{\frac{12}{18}}$$
• $$\color{blue}{\frac{6}{8}}$$
• $$\color{blue}{\frac{13}{39}}$$
• $$\color{blue}{\frac{5}{20}}$$

• $$\color{blue}{\frac{11}{18}}$$
• $$\color{blue}{\frac{4}{5}}$$
• $$\color{blue}{\frac{2}{3}}$$
• $$\color{blue}{\frac{3}{4}}$$
• $$\color{blue}{\frac{1}{3}}$$
• $$\color{blue}{\frac{1}{4}}$$

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