Solving Fraction Equations by Multiplying

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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.

y 20 = 8 Example 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 1 8 20 8 = 8 1 1 y 160 = 1 y = 160

Example 2 m 1 2 3 2 = 1 2 1 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 3 2 1 1 3 10 r = 1 2 1 3 2 1 1 15 1 r = 1 r 15 =

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