Ratios, Rates and Unit Rates

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

What is a rate?

Back

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

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. It tells you how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the first quantity by the second quantity. For example, if you have 40 dollars for 5 pounds, the unit rate is 40 ÷ 5 = 8 dollars per pound.

Front

If you earn $300 for 12 hours of work, what is the unit rate in dollars per hour?

Back

$25 per hour (300 ÷ 12 = 25).

Front

If a car travels 240 miles in 4 hours, what is the speed in miles per hour?

Back

60 miles per hour (240 ÷ 4 = 60).

Front

What is the unit rate of 50 apples for $200?

Back

$4 per apple (200 ÷ 50 = 4).

Front

If a recipe requires 3 cups of flour for 12 cookies, how much flour is needed per cookie?

Back

0.25 cups of flour per cookie (3 ÷ 12 = 0.25).

Front

How many words can you type in 1 minute if you can type 240 words in 3 minutes?

Back

80 words per minute (240 ÷ 3 = 80).

Front

If a runner completes 10 laps in 20 minutes, what is the unit rate in laps per minute?

Back

0.5 laps per minute (10 ÷ 20 = 0.5).