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?

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

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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 variable.

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What is the cross-multiplication method?

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The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

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The relationship is that a * d = b * c.

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x = 10.

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x = 4.

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What does it mean if two ratios are equivalent?

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It means that they represent the same relationship between quantities.

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How can you check if two ratios are equivalent?

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You can cross-multiply and see if the products are equal.

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What is an example of a real-world application of ratios?

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Cooking recipes often use ratios to maintain the correct proportions of ingredients.