Learn how to simplify ratios in few simple and easy steps.

## Step by step guide to simplify ratios

- Ratios are used to make comparisons between two numbers.
- Ratios can be written as a fraction, using the word “to”, or with a colon.
- You can calculate equivalent ratios by multiplying or dividing both sides of the ratio by the same number.

### Example 1: ** **

Simplify. \(4:2=\)

**Solution:**

Both numbers \(4\) and \(2\) are divisible by \(2 , ⇒ 4 \ ÷ \ 2=2, 2 \ ÷ \ 2=1\),

Then: \(4:2=2:1\)

### Example 2: ** **

Simplify. \(\frac{14}{24}=\)

**Solution:**

Both numbers \(14\) and \(24\) are divisible by \(2, ⇒ 14 \ ÷ \ 2=7, 24 \ ÷ \ 2=12\),

Then: \(\frac{14}{24}=\frac{7}{12} \)

### Example 3: ** **

Simplify. \(8:4=\)

**Solution:**

Both numbers \(8\) and \(4\) are divisible by \(4 \), \(⇒ 8÷4=2, 4÷4=1\),

Then: \(8:4=2:1\)

### Example 4: ** **

Simplify. \(\frac{12}{36}=\)

**Solution:**

Both numbers \(12\) and \(36\) are divisible by \(12\), \(⇒ 12÷12=1, 36÷12=3\),

Then: \(\frac{12}{36}=\frac{1}{3 }\)

## Exercises

### Reduce each ratio.

- \(\color{blue}{21:49}\)
- \(\color{blue}{20:40}\)
- \(\color{blue}{10:50}\)
- \(\color{blue}{14:18}\)
- \(\color{blue}{45:27}\)
- \(\color{blue}{49:21}\)

### Download Simplifying Ratios Worksheet

## Answers

- \(\color{blue}{3:7}\)
- \(\color{blue}{1:2}\)
- \(\color{blue}{1:5}\)
- \(\color{blue}{7:9}\)
- \(\color{blue}{5:3}\)
- \(\color{blue}{7:3}\)