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.

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.

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.

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.

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.

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.

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.

Front

What is the formula for calculating unit rates?

Back

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

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.

Front

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

Back

2 miles per hour.