How to Simplify Ratios? (+FREE Worksheet!)

Watch this practice video for additional examples and reinforcement:

Related Topics

• How to Find Similarity and Ratios
• How to Create a Proportion
• How to Find Proportional Ratios

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.

Simplifying Ratios For education statistics and research

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Simplifying Ratios, 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)

Simplifying Ratios, 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} )

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Simplifying Ratios, 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)

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Simplifying Ratios, 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 for Simplifying Ratios

Simplifying Ratios

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}{63:18})

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}{7:2})

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