ratios and proportions

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 simplify a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown.

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

If Patrick has 3 red toy cars out of a total of 10 toy cars, what is the ratio of red toy cars to all toy cars?

Back

3:10.

Front

If a 6-ounce package contains 45 pieces of fruit snacks, how many pieces are in a 10-ounce package?

Back

75 pieces.

Front

If 150 people wait 20 minutes for a ride, how long will 240 people wait?

Back

32 minutes.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and express them as a ratio.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.