Ratios and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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How do you express a ratio?

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A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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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 simplify a ratio?

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

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What is the ratio of 10 soccer players to 3 coaches?

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3:10

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If there are 20 strawberries and 35 grapes, what is the ratio of strawberries to the total?

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20:55

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What is the ratio of wins to losses if a team has 25 wins and 45 losses?

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5:9

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Are the ratios 1/3 and 4/12 equal?

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Yes, they are equal.

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How do you find the simplest form of a ratio?

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To find the simplest form, divide both parts of the ratio by their GCD.

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What is the ratio of 12 to 18 in simplest form?

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2:3

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