Last updated on June 25th, 2025
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about simplifying ratios calculators.
A simplifying ratios calculator is a tool used to reduce ratios to their simplest form. By dividing both terms of the ratio by their greatest common divisor (GCD), the calculator simplifies the ratio for easier interpretation and comparison.
This tool makes the process of simplifying ratios much faster and more accurate.
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the numbers: Input the two numbers of the ratio into the given fields.
Step 2: Click on simplify: Click on the simplify button to reduce the ratio to its simplest form.
Step 3: View the result: The calculator will display the simplified ratio instantly.
To simplify ratios, you can use a simple mathematical approach. Find the greatest common divisor (GCD) of the numbers and divide both terms of the ratio by the GCD.
For example, to simplify the ratio 8:12:
Therefore, the simplest form of the ratio 8:12 is 2:3.
When using a simplifying ratios calculator, a few tips and tricks can help avoid common mistakes:
Even with a calculator, mistakes can happen. It's important to be aware of these potential errors:
Simplify the ratio 15:25.
Find the GCD of 15 and 25, which is 5.
Divide both terms by 5: 15 ÷ 5 = 3 25 ÷ 5 = 5
So, the simplified ratio is 3:5.
By dividing both terms by their GCD, 5, we simplify the ratio 15:25 to 3:5.
Simplify the ratio 36:60.
Find the GCD of 36 and 60, which is 12.
Divide both terms by 12: 36 ÷ 12 = 3 60 ÷ 12 = 5
So, the simplified ratio is 3:5.
The ratio 36:60 simplifies to 3:5 by dividing both terms by their GCD, 12.
Simplify the ratio 48:64.
Find the GCD of 48 and 64, which is 16.
Divide both terms by 16:
48 ÷ 16 = 3
64 ÷ 16 = 4
So, the simplified ratio is 3:4.
Dividing both terms by their GCD, 16, simplifies the ratio 48:64 to 3:4.
Simplify the ratio 81:108.
Find the GCD of 81 and 108, which is 27.
Divide both terms by 27:
81 ÷ 27 = 3
108 ÷ 27 = 4
So, the simplified ratio is 3:4.
The ratio 81:108 simplifies to 3:4 by dividing both terms by their GCD, 27.
Simplify the ratio 22:77.
Find the GCD of 22 and 77, which is 11.
Divide both terms by 11:
22 ÷ 11 = 2
77 ÷ 11 = 7
So, the simplified ratio is 2:7.
By dividing both terms by their GCD, 11, we simplify the ratio 22:77 to 2:7.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables