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., 3:2), the word 'to' (e.g., 3 to 2), or as a fraction (e.g., \( \frac{3}{2} \)).

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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 (e.g., 1:2 and 2:4 are equivalent ratios).

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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 factor (GCF). For example, the ratio 8:12 simplifies to 2:3.

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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 2:1.

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

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The ratio of chocolate chips to flour is 2:3.

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In a garden planted in the ratio of 4:1 for tomatoes to cucumbers, how many tomato plants are there if there are 14 cucumber plants?

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There are 56 tomato plants.

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What is a real-life example of a ratio?

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An example of a ratio is 4 meatballs to 1 cup of sauce.

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How do you 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.

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What is the ratio of stars to squares if there are 3 stars and 4 squares?

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The ratio of stars to squares is 3:4.