# What Is the Ratio Between Two Numbers?

The ratio between two numbers is the same as the quotient of the fraction that includes the two numbers. In general, it’s expressed like this:

Theory

### TheRatioBetweenTwoNumbers

The ratio between the numbers $a$ and $b$ is $\frac{a}{b}$. The first number is the numerator and the second number is the denominator.

Here are a few examples.

Example 1

The ratio between $9$ and $36$ is

 $\frac{9}{36}=\frac{9÷9}{36÷9}=\frac{1}{4}=0.25.$

Example 2

The ratio between 36 and 9 is

 $\frac{36}{9}=\frac{4\cdot 9}{9}=\frac{4}{1}=4.$