Ratios and Equivalent Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing 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 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 do you find equivalent ratios?

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

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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 are reduced to their smallest whole number values while maintaining the same relationship.

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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).

Front

What is the ratio of girls to boys in a class with 32 girls and 16 boys?

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The ratio of girls to boys is \(\frac{32}{16} = \frac{2}{1}\) or 2:1.

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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What is the ratio of pears to all fruit if there are 5 pears, 4 apples, and 2 bananas?

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The ratio of pears to all fruit is \(\frac{5}{11}\) or 5:11.

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How do you find the total number of parts in a ratio?

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To find the total number of parts in a ratio, add the numbers in the ratio together.