Ratios & 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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CCSS.6.RP.A.1

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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 in words (e.g., '2 to 3').

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CCSS.6.RP.A.1

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What does it mean for ratios to be equivalent?

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Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

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CCSS.6.RP.A.3A

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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).

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What is the simplest form of the ratio 32:16?

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The simplest form of the ratio 32:16 is 2:1.

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CCSS.6.RP.A.1

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If a class has 16 boys and 32 girls, what is the ratio of girls to boys?

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The ratio of girls to boys is 2:1.

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CCSS.6.RP.A.1

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How do you find the ratio of two different groups?

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To find the ratio of two different groups, count the number of items in each group and express it as a fraction or using a colon.

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CCSS.6.RP.A.1

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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.

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CCSS.6.RP.A.1

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How do you express the ratio of a part to a whole?

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To express the ratio of a part to a whole, divide the part by the whole and simplify if necessary.

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CCSS.6.RP.A.1

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What is the ratio of people who commute by bicycle to the total number of employees if 10 out of 46 commute by bicycle?

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The ratio is \( \frac{10}{46} \) or simplified to \( \frac{5}{23} \).

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CCSS.6.RP.A.1

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