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# How do I solve fractional equations with the unknown in the denominator?

By Lee Mansfield on the 11th of June, 2012

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Firstly, multiply every term in the equation by whatever is in that denominator. Then, group together terms and you have your answer.

Example 1 10/x +2=7 Multiply every term by x 10+2x=7x Minus 2x from both sides 10=5x Divide both sides by 5 2=x And we have our answer x=2

By Roger Toder on the 11th of June, 2012

## Solve fractional equations with the unknown in the denominator

Some fractional equations will have the unknown in the denominator. It's a bit trickier to solve fractional equations with an unknown in the denominator, but it doesn't have to be as long as you remember that all the terms in the equation must first be multiplied by the unknown, in order to solve the equation.  If you still cannot solve the equation, you can thow your textbook out of a window in anger, and then cry.

e.g.

5/x+2=10

5+ 2x=10x

5-8x=0

-8x=-5

8x=5

x=5/8

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