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Solving Fraction Equations by Multiplying Lesson 5-5 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. 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. y 18 20 8 · = · 81 1 y = 160 1 y = 160 Example 2 1 2 · m = 3· 2 1 21 m =6 1 m =6 Check answers in the original equation. m = 3 2 6 =3 2 3 =3 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. Example 5 1 3 1 2 r = 10 · 3 · 12 13 1 21 1 r = 15 1 r = 15 Homework Time