Unit Rates 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. It is often used to describe how much of one item is present for every one unit of another item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate with fractions?

Back

To calculate a unit rate with fractions, divide the first fraction by the second fraction. This can be done by multiplying the first fraction by the reciprocal of the second fraction.

Tags

CCSS.7.RP.A.1

Front

If a cyclist covers 3/4 of a mile in 2/5 of an hour, what is the unit rate of speed in miles per hour?

Back

1.875 miles per hour.

Tags

CCSS.7.RP.A.1

Front

What is the unit rate of production if a machine produces 2/9 of a product in 1/2 of an hour?

Back

4/9 products per hour.

Tags

CCSS.7.RP.A.1

Front

How do you find the unit rate of sugar in a recipe?

Back

To find the unit rate of sugar in a recipe, divide the amount of sugar by the amount of another ingredient it is compared to, such as chocolate chips.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of sugar if you use 2/3 of a cup of sugar with 8/9 cups of chocolate chips?

Back

3/4 cups of sugar per cup of chocolate chips.

Tags

CCSS.7.RP.A.1

Front

If a machine produces 2/3 of a product in 1/2 of an hour, what is the unit rate of production?

Back

2/3 products per hour.

Tags

CCSS.7.RP.A.1

Front

What is the formula for calculating unit rates?

Back

Unit Rate = (Quantity 1) / (Quantity 2) where Quantity 2 is expressed as 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can unit rates be useful in real-life situations?

Back

Unit rates can help compare prices, speeds, and efficiencies, making it easier to make informed decisions.

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate of speed if a car travels 1/2 mile in 1/4 hour?

Back

2 miles per hour.

Tags

CCSS.7.RP.A.1