How to Simplify Ratios? (+FREE Worksheet!)
In this post, you learn how to simplify ratios in a few simple and easy steps.

Related Topics
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.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
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: \(\frac{14}{24}=\frac{7}{12} \)
Simplifying Ratios – Example 3:
Simplify. \(8:4=\)
Solution:
Both numbers \(8\) and \(4\) are divisible by \(4 \), \(⇒ 8÷4=2, 4÷4=1\),
Then: \(8:4=2:1\)
The Best Book to Help You Ace Pre-Algebra
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
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
- \(\color{blue}{3:7}\)
- \(\color{blue}{1:2}\)
- \(\color{blue}{1:5}\)
- \(\color{blue}{7:9}\)
- \(\color{blue}{5:3}\)
- \(\color{blue}{7:2}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- FREE 8th Grade ACT Aspire Math Practice Test
- FREE 7th Grade MCAS Math Practice Test
- Top 10 Tips to ACE the PSAT/NMSQT Math Test
- How to Find Integers Equivalent Quotients
- How to Navigating Complex Scenarios: Multi-step Word Problems with Remainders
- The 5 Best Programmable Calculators to Invest in
- How to Identify One-by-One Functions from the Graph
- Entertain Your Child Indoors with These Fun, Educational Activities
- Mastering the Basics: The Significance of “Algebra I for Beginners” in Your Back-to-School List
- How to Solve an Absolute Value Inequality?
What people say about "How to Simplify Ratios? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.