Ratios/Equivalent Ratios

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What is a ratio?

Back

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

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

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What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between numbers, even though the numbers may be different.

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CCSS.6.RP.A.3A

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How can you find an equivalent ratio?

Back

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 simplest form of a ratio?

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The simplest form of a ratio is when the two numbers have no common factors other than 1.

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CCSS.6.RP.A.1

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If the ratio of A to B is 2:3, what is the ratio of B to A?

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The ratio of B to A is 3:2.

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What is the ratio of 12 to 20 in simplest form?

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The simplest form of the ratio 12:20 is 3:5.

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How do you express a ratio in fractional form?

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A ratio can be expressed in fractional form by writing it as a fraction, with 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 ratio of 10 soccer players to 3 coaches?

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The ratio of soccer players to coaches is 10:3.

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How do you compare two ratios to determine if they are equivalent?

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To compare two ratios, cross-multiply and see if the products are equal.

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