Ratio is comparing of two quantities or numbers. Simplifying the ratios means making the numbers smaller in ratios so as to make it easier to compare. Simplifying ratios is nothing but reducing the ratio into its simplest form. Our calculator simplify the ratios into simplest form.

## How to Simplify Ratios

Below you could see the steps:

Step 1: Write down the factors of numerator and denominator.

Step 2: Find the greatest common factors of both numerator and denominator.

Step 3: Now, divide the numerator and denominator by that greatest common factor.

Here are some examples of simplifying ratios

### Solved Examples

Question 1: Simplify 15 : 9
Solution:
Given, ratio = 15 : 9

Factors of 15 = 1, 3, 5, 15

Factors of 9 = 1, 3, 9

Greatest Common Factor (G.C.D) = 3

dividing by G.C.D,   $15 \div 3 = 5$

$9 \div 3 = 3$

Ratio in simplest form = 5 : 3

Question 2: Simplify 8 : 36
Solution:
Given, ratio = 8 : 36

Factors of 8 = 1, 2, 4, 8

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 ,36

Greatest Common Factor (G.C.D) = 4

dividing by G.C.D,    $8 \div 4 = 2$

$36 \div 4 = 9$

Ratio in simplest form = 2 : 9

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