Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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 can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios. If the products are equal, the ratios form a proportion.

Front

What is the simplest form of the ratio 42 to 6?

Back

7:1

Front

What is the simplest form of the ratio 27:12?

Back

9:4

Front

Are the ratios 8 feet in 15 seconds and 16 feet in 40 seconds proportional?

Back

No, they are not proportional.

Front

Are the ratios 27 trucks to 12 jeeps and 44 trucks to 16 jeeps proportional?

Back

No, they are not proportional.

Front

What does it mean for ratios to be equivalent?

Back

Ratios are equivalent if they represent the same relationship between quantities.

Front

If $72 is for every 8 people, how much is it for 1 person?

Back

$9 for every 1 person.