Unit Rates

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 a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate from a ratio, divide the first quantity by the second quantity. For example, if the ratio is 60 miles in 2 hours, the unit rate is 60 ÷ 2 = 30 miles per hour.

Front

What are the units of a rate that describes speed?

Back

The units of a rate that describes speed are typically expressed in distance over time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

If a person earns $45 for 3 hours of work, what is their hourly rate?

Back

To find the hourly rate, divide the total earnings by the number of hours worked: $45 ÷ 3 hours = $15 per hour.

Front

What is the ratio of 8 apples to 4 oranges?

Back

The ratio of 8 apples to 4 oranges can be simplified to 2:1.

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, the ratio 3:4 can be written as the fraction 3/4.

Front

What is the equivalent rate of $12 per hour for 5 hours?

Back

The equivalent rate for $12 per hour for 5 hours is $12 x 5 = $60.

Front

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

Back

To find the speed, divide the distance by the time: 240 miles ÷ 4 hours = 60 miles per hour.

Front

What is the simplified form of the ratio 10:25?

Back

The simplified form of the ratio 10:25 is 2:5.

Front

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 3:2.