Ratios, Rates 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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 students in total?

Back

There are 12 boys.

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio is 2:5.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel in miles per hour?

Back

The rate of travel is 50 miles per hour.

Front

How do you find a missing value in a proportion?

Back

Set up the proportion, cross-multiply, and solve for the missing value.

Front

What is the ratio of school apps to all apps if Kelly has 5 school apps out of 10 total apps?

Back

The ratio is 1:2.