Ratios and Equivalent Ratios

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What is a ratio?

Back

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

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How do you write a ratio?

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A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., \(\frac{2}{3}\)), or with the word 'to' (e.g., 2 to 3).

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What does it mean when we say the order of a ratio is important?

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The order of a ratio matters because it indicates which quantity is being compared to which. For example, the ratio 2:3 is different from 3:2.

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If there are 5 boys and 7 girls, what is the ratio of girls to boys?

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The ratio of girls to boys is \(\frac{7}{5}\) or 7:5.

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

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How can you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF).

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What is the ratio of animals to crabs if there are 13 animals and 4 crabs?

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The ratio of animals to crabs is 13:4.

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In a cookie recipe, if 2 eggs and 3 cups of flour are needed for 1 batch, how much is needed for 3 batches?

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For 3 batches, you need 6 eggs and 9 cups of flour.

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What is the common factor used to simplify the ratio 12:18?

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The common factor is 6, which simplifies the ratio to 2:3.

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What is the first step to find equivalent ratios?

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