Understanding Ratios

A ratio is a way to compare two quantities by showing the relative size of one to the other. You can write a ratio using a colon (3:2), the word “to” (3 to 2), or as a fraction (\(\frac{3}{2}\)).

What Are Rates?

A rate is a special type of ratio where the two quantities have different units, such as miles per hour or price per item.

Using Ratios and Rates

Ratios and rates help us in many everyday situations, like cooking recipes, comparing prices, or finding out how fast something is moving.

How to Find a Unit Rate

To find a unit rate, divide the first quantity by the second so that the second quantity is 1. For example, if you spend \$8 for 4 sandwiches, the unit rate is \$2 per sandwich.

Visualizing Ratios

You can use tables, double number lines, or diagrams to make sense of ratios and rates.

Real-World Connections

Ratios and rates show up when mixing paint colors, adjusting recipes, or even in sports statistics!