Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if 4 pounds of bananas cost $6, the unit rate is $6 ÷ 4 = $1.50 per pound.

Front

If a car travels 160 miles in 4 hours, what is the speed in miles per hour?

Back

40 miles per hour (160 miles ÷ 4 hours = 40 miles/hour).

Front

What is the formula to find the total distance traveled?

Back

Total Distance = Rate × Time.

Front

If Harry mowed 8 lawns and earned $96, how do you find his earnings per lawn?

Back

Earnings per lawn = Total Earnings ÷ Number of Lawns = $96 ÷ 8 = $12.

Front

What is the ratio of dimes to nickels if there are 10 dimes and 5 nickels?

Back

The ratio is 2 to 1 (10 dimes ÷ 5 nickels = 2).

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, a ratio of 2 to 3 becomes 2/3.

Front

What is the cost per item if 4 items cost $12?

Back

Cost per item = Total Cost ÷ Number of Items = $12 ÷ 4 = $3.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

The unit rate is 0.25 cups of flour per cookie (3 cups ÷ 12 cookies).