Ratios and Unit Rate

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 10 cookies cost $4.00, the unit rate is $4.00 ÷ 10 = $0.40 per cookie.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

Convert the ratio 18 ounces to 3 cups into simplest form.

Back

The simplest form of the ratio 18 ounces to 3 cups is 6 to 1.

Front

If a car travels 440 miles in 8 hours, what is the unit rate in miles per hour?

Back

The unit rate is 55 miles per hour.

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the purpose of a ratio table?

Back

A ratio table is used to organize equivalent ratios and can help in finding unknown values in proportional relationships.

Front

If the ratio of cats to dogs is 3:5, how many cats are there if there are 15 dogs?

Back

If there are 15 dogs, there are 9 cats, because the ratio 3:5 means for every 3 cats, there are 5 dogs.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between two quantities.