Ratios and Proportional Relationships

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 write a ratio?

Back

Ratios can be written in three ways: as a fraction (3/4), with a colon (3:4), or with the word 'to' (3 to 4).

Front

What is a proportion?

Back

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

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Front

What is the first step to solve for a missing value in a ratio?

Back

Set up a proportion using the known values and the unknown value.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys. (3/4 = x/28, so x = 21.)

Front

What is an equivalent ratio to 3/4?

Back

An equivalent ratio to 3/4 is 12/16.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.