Ratios & Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

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

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you find equivalent ratios?

Back

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

Front

What is the ratio of boys to girls if there are 16 boys and 32 girls?

Back

The ratio of boys to girls is 1:2 when simplified.

Front

If a class has 16 boys and 32 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 2:1 when simplified.

Front

How do you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

What is the total number of employees if 4 took the bus, 10 walked, 10 biked, 12 carpooled, and 10 drove alone?

Back

The total number of employees is 46.

Front

What is the ratio of people who commuted by bicycle to all employees?

Back

The ratio of people who commuted by bicycle to all employees is 5:23 when simplified.

Front

How do you predict the number of items based on a ratio?

Back

To predict the number of items based on a ratio, set up a proportion using the known ratio and solve for the unknown quantity.