Ratios and Unit Rates

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 fraction a/b.

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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find the unit rate from a total distance and total gallons?

Back

To find the unit rate (miles per gallon), divide the total miles driven by the total gallons used.

Front

What is the unit rate if a car drives 231 miles using 7 gallons of gas?

Back

33 miles per gallon.

Front

Express the ratio of 18 ounces to 3 cups as a fraction in simplest form.

Back

6 to 1.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

4 red apples to 3 green apples.

Front

How do you simplify the ratio 35:14?

Back

Divide both numbers by their GCD, which is 7, resulting in 5:2.

Front

If 30 kids like grape juice and the ratio of grape to pineapple juice drinkers is 3:4, how many kids like pineapple juice?

Back

40 kids like pineapple juice.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.