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 do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

What is the ratio of red toy cars to all toy cars if there are 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

What is an example of a real-life ratio?

Back

An example of a real-life ratio is 4 meatballs to 1 cup of sauce.

Front

If there are 4 red apples and 3 green apples, what is the ratio of red apples to green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

What is the first step in solving a proportion?

Back

The first step in solving a proportion is to cross-multiply the two ratios.