Rates and ratios

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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:b'.

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CCSS.6.RP.A.1

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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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 'x per 1 unit'.

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CCSS.6.RP.A.1

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If a recipe requires 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 2:3.

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CCSS.6.RP.A.1

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How do you find the total quantity from a ratio?

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To find the total quantity from a ratio, add the parts of the ratio together and multiply by the number of sets.

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What is the unit rate of 60 miles in 3 hours?

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The unit rate is 20 miles per hour.

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CCSS.6.RP.A.1

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If there are 4 apples for every 5 oranges, what is the ratio of oranges to apples?

Back

The ratio of oranges to apples is 5:4.

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CCSS.6.RP.A.1

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

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CCSS.6.RP.A.1

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What is the ratio of 10 to 25 in simplest form?

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The simplest form of the ratio 10 to 25 is 2:5.

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CCSS.6.RP.A.1

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If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

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The unit rate is 50 miles per hour.

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CCSS.6.RP.A.1

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