Unit Rate

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if you can buy 5 apples for $10, the unit rate is $2 per apple.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

60 miles per hour (300 miles ÷ 5 hours = 60 miles/hour).

Front

What is the unit rate of 12 cookies for $3?

Back

$0.25 per cookie ($3 ÷ 12 cookies = $0.25/cookie).

Front

If a recipe requires 4 cups of flour for 2 batches of cookies, how much flour is needed for 1 batch?

Back

2 cups of flour (4 cups ÷ 2 batches = 2 cups/batch).

Front

How do you find the price per item when given the total price and quantity?

Back

Divide the total price by the quantity of items. For example, if you pay $15 for 6 gallons of gasoline, the price per gallon is $15 ÷ 6 = $2.50.

Front

What is the unit rate of 50 miles in 2 hours?

Back

25 miles per hour (50 miles ÷ 2 hours = 25 miles/hour).

Front

If a person can read 120 pages in 3 hours, what is the reading rate in pages per hour?

Back

40 pages per hour (120 pages ÷ 3 hours = 40 pages/hour).

Front

How do you convert a complex fraction to a simple fraction?

Back

To convert a complex fraction, simplify the numerator and denominator separately, then divide the two results. For example, (9/5) ÷ (3/2) = (9/5) * (2/3) = 18/15 = 6/5.

Front

If a car uses 15 gallons of gas to travel 300 miles, what is the unit rate in miles per gallon?

Back

20 miles per gallon (300 miles ÷ 15 gallons = 20 miles/gallon).