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Solving Fraction Equations by Multiplying Lesson 5-5.

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1 Solving Fraction Equations by Multiplying Lesson 5-5

2 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.

3 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.

4 y 8 = · 1 1 y 1 = · y=

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

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

7 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.

8 Example 2 3 r= 10 · r = · r =

9 Homework Time


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