# Solving Fraction Equations by Multiplying Lesson 5.5

This lesson teaches how to solve fraction equations by multiplying when the variable is in the numerator of the fraction. It explains that when there is a division problem with the

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## About Solving Fraction Equations by Multiplying Lesson 5.5

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## Presentation Transcript

Slide1Solving FractionEquations by Multiplying Lesson 5-5

Slide2If the variable is in thefraction… • 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.

Slide3Exampley 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.

Slide4y8 = 20 8 1 · 1 1 y 1 = · 8 160 y = 160

Slide5Example 2m 2 = 3 · 2 1 1 1 m 1 = · 2 6 m = 6

Slide6Check answers in the originalequation. m 2 = 3 6 2 = 3 3 = 3

Slide7If the variable is being multipliedby 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.

Slide8Example2 3 r = 10 · 3 2 1 1 1 1 1 r = · 3 2 1 5 1 15 1 r = 15

Slide9Homework Time