Unit Rate with Fractions

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 earn $20 for 1 hour of work, the unit rate is $20 per hour.

Front

How do you find the unit rate when given a fraction of a quantity?

Back

To find the unit rate with fractions, divide the total amount by the fraction. For example, if you earn $10 for 1/2 hour, you would calculate $10 ÷ (1/2) = $20 per hour.

Front

If Paisley earned $10 for 1/2 of an hour, how much would she make in 1 hour?

Back

$20

Front

If Mrs. Nolte uses 1 cup of peanut butter for every 1/2 cup of oil, how much peanut butter is needed for 1 cup of oil?

Back

2 cups

Front

How do you calculate the speed in meters per minute if you swim 25 meters in 1/5 of a minute?

Back

To find the speed, divide the distance by the time: 25 meters ÷ (1/5) minute = 125 meters per minute.

Front

If De'Yonna used 1/4 of a bottle of conditioner in 7/12 of a year, how much would she use in a full year?

Back

3/7 bottles of conditioner

Front

If Paisley earned $10 for 1/4 of an hour, how much would she make in 1 hour?

Back

$40

Front

What is the formula to convert a fraction to a unit rate?

Back

The formula is: Unit Rate = Total Amount ÷ Fraction.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the total amount and the denominator is the unit quantity. For example, $20 per hour can be expressed as 20/1.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions, which are equations that show two ratios are equal. For example, if you know the unit rate, you can find unknown quantities using proportions.