Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

If the ratio of girls to boys is 2 to 3 and there are 12 girls, how many boys are there?

Back

18 boys.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown.

Front

If there are 88 students in 4 classes, how many students are in each class?

Back

22 students per class.

Front

What is the ratio of wins to losses if a team has 5 wins and 1 loss?

Back

The ratio of wins to losses is 5 to 1.

Front

If a plane travels 360 miles in 3 hours, how many miles does it travel per hour?

Back

120 miles per hour.

Front

What is the ratio of boys to total students if there are 2 girls and 3 boys?

Back

The ratio of boys to total students is 3 to 5.

Front

How do you express a ratio in simplest form?

Back

Divide both parts of the ratio by the same number until you cannot divide anymore.