Category: Ratios and Proportions


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.


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.