# Ratio Calculator

Enter the 2 numbers in **A** and **B** to reduce the ratio of A:B to the smallest form.

Scale a ratio or compare if 2 sets of dimensions are the same ratio by entering numbers in box **C** or **D**.

## Ratio:

## What is a Ratio

A ratio is a comparison of the size of one number to another number and can compare the size of an object, a quantity, an angle, or another unit of measure. A ratio is expressed as one number to another number and is written in the format A:B. For example, the ratio of 5 to 2 can be written **5:2**.

## How to Reduce a Ratio

Ratios can be reduced just like a fraction can be reduced. In fact, the process of simplifying a ratio is the exact same as reducing fractions.

To reduce a ratio find the greatest common factor of each number, then divide both numbers by the greatest common factor.

For example, to reduce the ratio 6:4, find the greatest common factor of both 6 and 4.

Factors of 6 are 1, 2, 3, & 6

Factors of 4 are 1, 2, & 4

The greatest common factor of both 6 and 4 is 2

6 ÷ 2 = 3

4 ÷ 2 = 2

Thus 6:4 = 3:2

## Converting a Ratio to a Fraction

A ratio can be converted to a fraction by simply changing how it is written. For instance, converting 3:2 to a fraction can be done by simply rewriting it as 3/2.

## Converting a Ratio to a Percentage

A ratio can be converted to a percentage by converting it to a fraction first, evaluating the fraction, then converting the decimal value to percentage. For example, 3:2 can be converted to a fraction 3/2 and then evaluate the fraction. 3 divided by 2 equals 1.5. Convert 1.5 to a percentage by multiplying by 100, which is 150%.

Thus, the ratio 3:2 converted to a percentage is 150%.