Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms such as fractions, decimals, or with a colon (e.g., 3:4).

Front

How can a ratio be written?

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Front

What does it mean for ratios to be equivalent?

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Ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do 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. For example, multiplying 2:3 by 2 gives 4:6.

Front

What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

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Front

If there are 10 girls for every 12 boys, how many boys are there if there are 50 girls?

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If there are 50 girls, there are 60 boys, maintaining the ratio of 10:12.

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What number should go in the blank to make the ratios equivalent? 6 : 5 and 54 : __

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The number that should go in the blank is 45.

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What is the relationship between the terms in a ratio?

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The terms in a ratio represent parts of a whole and show how much of one quantity exists compared to another.

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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). For example, to simplify 8:12, divide both by 4 to get 2:3.

Front

What is the ratio of 3 to 8 expressed as a fraction?

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