Rates and ratios

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: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 rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

If the ratio of boys to girls in a class is 2:3 and there are 10 boys, how many girls are there?

Back

15 girls.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1, such as 60 miles per hour.

Front

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

Back

Add the parts of the ratio together and then use the total to find the number of each item.

Front

If a recipe calls for a ratio of 2:1 of flour to sugar, how much sugar is needed for 4 cups of flour?

Back

2 cups of sugar.

Front

What is the ratio of 12 to 16 in simplest form?

Back

3:4.

Front

If there are 24 students and the ratio of boys to girls is 1:3, how many boys are there?

Back

6 boys.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.