Rates and Ratios

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 quantity of one. For example, if you have 40 slices of pizza for 5 pizzas, the unit rate is 8 slices per pizza.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, for 42 avocados in 7 bags, divide 42 by 7 to get 6 avocados per bag.

Front

If 1 cm on a map represents 25 km, how many kilometers does 7 cm represent?

Back

7 cm represents 175 kilometers (7 cm x 25 km/cm = 175 km).

Front

What is the unit rate for watching videos if it takes 24 minutes to watch 4 videos?

Back

The unit rate is 6 minutes per video (24 minutes ÷ 4 videos = 6 minutes/video).

Front

How do you calculate the unit rate for a given quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if you have 40 slices of pizza and 5 pizzas, the unit rate is 40 ÷ 5 = 8 slices per pizza.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, the ratio of 2 to 3 can be written as 2:3.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the difference between a rate and a ratio?

Back

A rate is a specific kind of ratio that compares two quantities with different units, while a ratio compares two quantities with the same unit.

Front

If a car travels 300 kilometers in 3 hours, what is the unit rate in kilometers per hour?

Back

The unit rate is 100 kilometers per hour (300 km ÷ 3 hours = 100 km/hour).

Front

What is the unit rate for 42 avocados in 7 bags?

Back

The unit rate is 6 avocados per bag (42 avocados ÷ 7 bags = 6 avocados/bag).