Ratios and Rates Review

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 : b'. For example, a ratio of 3 : 4 means for every 3 of one quantity, there are 4 of another.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both sides of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 8 : 12, divide both by 4 to get 2 : 3.

Front

What is a rate?

Back

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

Front

If a baseball team has a win to loss ratio of 3 : 4, what is their ratio of wins to total games played?

Back

3 : 7 (3 wins + 4 losses = 7 total games).

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 8 pens cost $24, the unit rate is $24 ÷ 8 = $3 per pen.

Front

What does it mean if the ratio of men to women at a basketball game is 5 : 4?

Back

It means that for every 5 men, there are 4 women at the game.

Front

How can you compare two rates?

Back

To compare two rates, convert them to the same unit or find the unit rate for each and then compare the values.

Front

If Pam bought 5 pens for $20 and Kelli bought 8 pens for $24, who spent less per pen?

Back

Kelli spent less per pen. Pam's cost per pen is $4, while Kelli's cost per pen is $3.

Front

What is the simplified ratio of green to red marbles if there are 8 green and 2 red?

Back

The simplified ratio is 4 : 1.

Front

If someone walks 30 kilometers in 10 hours, what is their walking rate?

Back

Their walking rate is 3 kilometers per hour (30 km ÷ 10 hours).