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 to b' or a:b.

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How do you simplify a ratio?

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

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It shows how much of one quantity corresponds to one unit of another quantity.

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How do you find a unit rate from a rate?

Back

To find a unit rate, divide the numerator by the denominator to express the rate per one unit of the second quantity.

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What is the ratio of 5 to 10?

Back

The ratio of 5 to 10 can be simplified to 1:2.

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If there are 6 blue marbles and 4 red marbles, what is the ratio of blue to red marbles?

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The ratio of blue to red marbles is 6:4, which simplifies to 3:2.

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What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

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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 quantity as the numerator and the second quantity as the denominator.

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What is the ratio of 9 triangles to 18 shapes?

Back

The ratio of 9 triangles to 18 shapes is 1:2 when simplified.

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If a car travels 120 miles in 2 hours, what is the rate of travel in miles per hour?

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The rate of travel is 60 miles per hour.

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