Unit Rates & Equivalent 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 one unit. For example, if you buy 5 pounds of apples for $10, the unit rate is $2 per pound.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount of one quantity by the total amount of the other quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers. For example, the ratios 2:3 and 4:6 are equivalent because they both represent the same proportion.

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 20:25, divide both by 5 to get 4:5.

Front

What is the unit rate of 120 customers in 8 hours?

Back

The unit rate is 15 customers per hour, calculated by dividing 120 by 8.

Front

If you spend $3.75 for 3 pounds of granola, what is the unit rate?

Back

The unit rate is $1.25 per pound, calculated by dividing $3.75 by 3.

Front

What is the ratio of 10 to 15 simplified?

Back

The simplified ratio is 2 to 3.

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If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

The unit rate is 60 miles per hour, calculated by dividing 300 by 5.

Front

What is the relationship between unit rates and equivalent ratios?

Back

Unit rates can be used to find equivalent ratios by comparing the same quantities. For example, if the unit rate is 2 apples for $1, the equivalent ratio can be expressed as 4 apples for $2.

Front

How do you find the missing number in a ratio?

Back

To find the missing number in a ratio, set up a proportion and solve for the unknown. For example, if the ratio is 3:x = 6:12, cross-multiply and solve for x.