Ratios, Rates, Fractions, Decimals

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What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

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How do you simplify a ratio?

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

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What is the ratio of girls to boys if there are 8 boys and 12 girls?

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The ratio of girls to boys is 3 to 2.

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as distance per time.

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How do you calculate the unit rate?

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To calculate the unit rate, divide the quantity by the number of units to find the amount per one unit.

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If Jack earns $46.80 for 6 hours of work, what is his rate of pay?

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Jack's rate of pay is $7.80 per hour.

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1, showing how much of one item corresponds to one unit of another.

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If soda is on sale for 4 packs at $10, what is the unit rate per pack?

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The unit rate per pack is $2.50.

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What does the ratio 8:23 compare in a pet store with 8 dogs, 12 turtles, and 3 cats?

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The ratio 8:23 compares the number of dogs to the total number of animals (8 dogs + 12 turtles + 3 cats = 23 animals).

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What is the difference between a ratio and a fraction?

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A ratio compares two quantities, while a fraction represents a part of a whole.

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