Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities by division. It 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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Ratios can be written 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 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.

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How can you find an equivalent ratio using multiplication?

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To find an equivalent ratio, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 2:3, multiplying by 2 gives 4:6.

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How can you find an equivalent ratio using division?

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To find an equivalent ratio, divide both terms of the ratio by the same non-zero number. For example, for the ratio 6:9, dividing by 3 gives 2:3.

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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 numbers have no common factors other than 1. For example, the simplest form of 8:12 is 2:3.

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How do you write a ratio as a fraction?

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Front

What is the ratio of pears to all fruit if there are 4 apples and 6 pears?

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The ratio of pears to all fruit is 6:10, which simplifies to 3:5.