Understanding Ratios

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 can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 3/5), with a colon (e.g., 3:5), or in words (e.g., 3 to 5).

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

If there are 5 boys and 7 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 7 to 5.

Front

What is the ratio of coaches to players if there are 10 soccer players and 3 coaches?

Back

The ratio of coaches to players is 3:10.

Front

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

Back

Add the quantities together to find the total. For example, 2 black + 3 red + 5 white = 10 total toy cars.

Front

What is the ratio of school apps to game apps if Kelly has 5 school apps and 3 game apps?

Back

The ratio of school apps to game apps is 5 to 3.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers have been reduced to their smallest whole number form.

Front

How can you check if two ratios are equivalent?

Back

Cross-multiply the ratios. If the products are equal, the ratios are equivalent.

Front

What is the ratio of boys to total children if there are 5 boys and 7 girls?

Back

The ratio of boys to total children is 5:12.