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 of the ratio by their greatest common divisor (GCD).

Front

What is the ratio of 10 to 26 in simplest form?

Back

The simplest form of the ratio 10:26 is 5:13.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

If there are 2 red toy cars and 8 total toy cars, what is the ratio of red toy cars to total toy cars?

Back

The ratio of red toy cars to total toy cars is 2:8, which simplifies to 1:4.

Front

What is the ratio of female teachers to male teachers if there are 5 female and 13 male teachers?

Back

The ratio of female teachers to male teachers is 5:13.

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add the quantities represented in the ratio.

Front

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

Back

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

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the ratio of students who want hot dogs to those who want hamburgers if 10 want hot dogs and 26 want hamburgers?

Back

The ratio is 10:26.