7S: Ratios, Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio?

Back

Ratios can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often used to compare prices or speeds.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate?

Back

$8 per pound.

Front

What is the ratio of dogs to all pets if there are 2 dogs, 4 cats, and 5 hamsters?

Back

The ratio of dogs to all pets is 2:11.

Front

How do you find the total number of parts in a ratio?

Back

Add the numbers in the ratio together to find the total number of parts.

Front

If a ratio is 3:4, what is the total number of parts?

Back

The total number of parts is 3 + 4 = 7.