Equivalent Ratios

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What is a ratio?

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A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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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 can you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing 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 boys to girls if there are 5 boys and 7 girls?

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The ratio of boys to girls is 5:7.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a fruit bowl has 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

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The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio as a fraction?

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To express a ratio as a fraction, write the first term as the numerator and the second term as the denominator.

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CCSS.6.RP.A.1

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What is the simplest form of the ratio 24 players to 3 teams?

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The simplest form of the ratio 24:3 is 8:1.

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CCSS.6.RP.A.1

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What does it mean for a ratio to be in simplest form?

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A ratio is in simplest form when the two numbers have no common factors other than 1.

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CCSS.6.RP.A.3A

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How do you compare two ratios?

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To compare two ratios, you can cross-multiply or convert them to fractions and compare the resulting values.

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CCSS.6.RP.A.3A