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Published byNorma Dinsdale Modified over 2 years ago

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Solving Fraction Equations by Multiplying Lesson 5-5

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If the variable is in the fraction… When the variable is the numerator of the fraction, then it suggests a division problem. To solve a division problem, the inverse operation is multiplying.

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Example y 8 = 20 This equation reads “y divided by 8 equals 20.” The opposite of dividing by 8 is multiplying by 8. Multiply both sides by 8.

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y 8 = 20 8 1 · 1 1 y 1 = · 8 160 y=

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Example 2 m 2 = 3 · 2 1 1 1 m 1 = · 2 6 m = 6

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Check answers in the original equation. m 2 =3 6 2 =3 3 =3

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If the variable is being multiplied by a fraction… To isolate a variable that is being multiplied by a fraction, multiply by the reciprocal. Perform the same operation on the other side of the equation.

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Example 2 3 r= 10 · 3 2 1 11 1 1 r = · 3 2 1 5 1 15 1 r =

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Homework Time

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