Ratios & Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent 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 can 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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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of 20 to 24 in simplest form?

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The simplest form of the ratio 20:24 is 5:6.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of boys to girls is 5:7, how do you find the number of boys if there are 35 girls?

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Use the ratio to set up a proportion: 5/7 = x/35, where x is the number of boys. Solve for x to find that there are 25 boys.

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CCSS.7.RP.A.3

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What is the ratio of 4 pennies to 12 total coins?

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The ratio of pennies to total coins is 4:12.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find an equivalent ratio?

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

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CCSS.6.RP.A.3A

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

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The ratio of birds to snakes is 4:6.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Which of the following ratios is NOT equivalent to 20:24? 10:12, 5:6, 16:20

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16:20 is NOT equivalent to 20:24.

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CCSS.6.RP.A.3A

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If you have 3 pennies, 4 nickels, and 5 dimes, what is the ratio of nickels to total coins?

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The ratio of nickels to total coins is 4:12.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2