Ratios and Proportions

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What is a ratio?

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

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What is a proportion?

Back

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

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How do you solve a proportion?

Back

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

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What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

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x = 10.

Front

How do you check if two ratios are equivalent?

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You can check by cross-multiplying and seeing if the products are equal.

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What is an example of a ratio in real life?

Back

The ratio of boys to girls in a class, such as 3 boys to 2 girls, can be expressed as 3:2.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.