Solving Proportion Equations

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you solve a proportion equation?

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To solve a proportion equation, cross-multiply the terms and then isolate the variable.

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CCSS.6.EE.B.7

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What does cross-multiplication involve?

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Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction.

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CCSS.5.NF.B.5B

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x = 7

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CCSS.8.EE.C.7B

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x = 7

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CCSS.HSA.REI.A.2

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m = -12

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CCSS.8.EE.C.7B

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x = 9.6

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CCSS.HSA.REI.A.2

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n = 21.5

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CCSS.8.EE.C.7B

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What is the first step in solving a proportion?

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The first step is to cross-multiply the fractions.

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CCSS.7.EE.B.3

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What is the importance of finding a common denominator in proportions?

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Finding a common denominator helps to simplify the equation and make it easier to solve.

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CCSS.7.EE.B.3