Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 dollars per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if 4 tickets cost $124, the unit rate is $31 per ticket.

Front

What is the unit rate for 90 dollars earned in 5 hours?

Back

The unit rate is $18 per hour.

Front

If Alice drives 250 miles in 5 hours, what is her speed in miles per hour?

Back

Her speed is 50 miles per hour.

Front

What is the ratio of 18 votes for yellow to 9 votes for green?

Back

The simplified ratio is 2:1.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first term as the numerator and the second term as the denominator.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and both represent a comparison of quantities.