Ratios, Rates and Unit Rates ACC

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.

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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 divisor (GCD).

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per item.

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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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 $96 for mowing 8 lawns, the unit rate is $96 ÷ 8 = $12 per lawn.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

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How do you create a ratio table?

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A ratio table lists pairs of equivalent ratios. To create one, start with a known ratio and multiply or divide both terms by the same number.

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If 150 grams of fertilizer is needed for 6 acres, how much is needed for 1 acre?

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To find the amount needed for 1 acre, divide 150 grams by 6 acres, which equals 25 grams per acre.

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What is the formula to calculate a unit rate?

Back

Unit Rate = Total Amount / Number of Units.

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How do you convert a ratio to a percentage?

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To convert a ratio to a percentage, divide the first number by the second number and multiply by 100.