Rates, Ratios, and Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something. For example, 22 miles per hour is a unit rate.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), using the word 'to' (e.g., 3 to 2), or as a fraction (e.g., 3/2).

Front

What is the ratio of girls to boys if there are 7 boys and 9 girls?

Back

The ratio of girls to boys is 9 to 7.

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 to 3.

Front

What is the unit rate if it snowed 14 inches in 5 hours?

Back

The unit rate is 2.8 inches per hour.

Front

Which of the following is an incorrect way to write a ratio? X : Y, X and Y, X/Y, X to Y?

Back

The incorrect way to write a ratio is 'X and Y'.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

How do you find a unit rate from a total quantity?

Back

To find a unit rate, divide the total quantity by the number of units. For example, if you have 60 miles in 3 hours, the unit rate is 60 miles ÷ 3 hours = 20 miles per hour.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the quantities have been reduced to their smallest whole number form, making it easier to understand the relationship.

Front

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

Back

The ratio of flour to sugar is 2 to 3.