Ratios, Rates, and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for every 1 hour).

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity to get the amount per one unit of the second quantity.

Front

If Ernie travels 195 miles in 3 hours, what is his speed in miles per hour?

Back

To find the speed, divide the distance by the time: 195 miles ÷ 3 hours = 65 miles per hour.

Front

What does 'per' mean in mathematical terms?

Back

In mathematical terms, 'per' means 'for every 1'.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

If a cashier can serve 2 customers in 8 minutes, how many customers can he serve in 30 minutes?

Back

He can serve 7.5 customers in 30 minutes.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

Front

If the ratio of apples to oranges is 4:1, what is the equivalent ratio for 12 apples?

Back

The equivalent ratio for 12 apples would be 12:3.