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 as a fraction a/b.

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What is a proportion?

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A proportion is an equation that states that two ratios are equal, expressed as a/b = c/d.

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How do you solve a proportion?

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

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

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The cross products are equal, meaning a*d = b*c.

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the two quantities are expressed in their lowest terms, with no common factors.

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How can you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, and vice versa; both represent a comparison of two quantities.

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x = 40.

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