Ratios and Unit Rates

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 by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit, often in the form of 'x per 1 unit of y'.

Front

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

Back

To find the unit rate, divide the total amount by the number of units. For example, if you earn $20.40 in 3 hours, divide 20.40 by 3 to get $6.80 per hour.

Front

What is the boy:girl ratio in a class with 15 boys and 20 girls?

Back

The boy:girl ratio is 3:4, which is found by simplifying the ratio 15:20.

Front

How do you calculate the number of students per class?

Back

To calculate the number of students per class, divide the total number of students by the number of classes. For example, 88 students in 4 classes means 88 ÷ 4 = 22 students per class.

Front

What is the ratio of red to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow marbles is 2:5.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

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

How can you represent a ratio using fractions?

Back

A ratio can be represented as a fraction by placing one quantity over the other. For example, the ratio 3:4 can be written as 3/4.