Ratios, Unit Rates & Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or as a fraction a/b.

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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 comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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How do you find the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, 48 cookies in 4 batches gives a unit rate of 12 cookies per batch.

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then solve for the unknown variable.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

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Front

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x = 8.

Front

What is the simplified form of the ratio 10:5?

Back

The simplified form is 5:1.