Ratios, Rates & Proportions

Front

What is a Unit Rate?

Back

A unit rate is a rate that has been simplified to have a denominator of one. It shows how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate of miles per gallon?

Back

To find the unit rate of miles per gallon, divide the total miles driven by the total gallons of gas used. For example, if you drive 150 miles using 5 gallons, the unit rate is 150 ÷ 5 = 30 miles per gallon.

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (13/10), with a colon (13:10), or in words (13 to 10).

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If you have 624 calories in 3 servings, what is the unit rate of calories per serving?

Back

The unit rate is 624 calories ÷ 3 servings = 208 calories per serving.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply. For example, if a/b = c/d, then ad = bc.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., miles per hour).

Front

If you travel 150 miles on 5 gallons of gas, how many miles do you travel per gallon?

Back

You travel 150 miles ÷ 5 gallons = 30 miles per gallon.