# Category: Ratios and Proportions

## Ratios

A ratio is a comparison of two numbers by division.

The ratio of $m$ to $n$ can be expressed in the following ways:

• $m$ to $n$
• $m:n$
• $\frac{m}{n}$

Last expression tells us, that ratio is, actually, a fraction.

## Proportions

An equation, stating that two ratios are equal is called a proportion.

For example, $\frac{5}{3}=\frac{10}{6}$ is a proportion.

Example 1. Determine, whether the ratios $\frac{18}{4}$ and $\frac{27}{6}$ form a proportion.

## Solving Percent Problems

Basically, there are 3 types of percent problems:

• What is ${p}$% of ${m}$?
• ${p}$% of what is ${m}$?
• What percent of ${m}$ is ${n}$?

Now, we will practice in these percent problems.