Solving Fraction Equations by Multiplying Lesson 5.5

Solving Fraction Equations by Multiplying Lesson 5.5
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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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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