SOLUTION: Simplify the complex fraction: 4 + 2/x / x/4 + 1/8 The first thing I have to do is multiply the first equation by the reciprocal of the second equation. After that I do not know

Algebra.Com
Question 29480: Simplify the complex fraction:
4 + 2/x / x/4 + 1/8
The first thing I have to do is multiply the first equation by the reciprocal of the second equation. After that I do not know what to do.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

hope I got it right
right away, I see 4's and 8's, so maybe I can make it simpler
multiply top and bottom of fraction by 8


multiply top and bottom by x



answer
check

multiply both sides by x

divide both sides by 16

OK
notice that 0 can't be a solution for x division by zero is not allowed

RELATED QUESTIONS

how do you simplify the complex fraction... (answered by Edwin McCravy)
Simplify the complex fraction ((1/8) +( x+4/16)) / ((x+4/x^2) +... (answered by MathLover1)
simplify (1 + 2/(x + 2))/(1 + 8/(x - 4)) STEP 2: Multiply the numerator and... (answered by stanbon)
Simplify the complex fraction. 4+2/x over... (answered by HyperBrain)
So I'm trying to learn Fractional Equations, and one part gets me. I have to multiply... (answered by josmiceli)
simplify the complex fraction 4 ----- x+3 ----- 1/x +... (answered by josgarithmetic,MathTherapy)
This question is from my ACT Math Study book. I'm having trouble understanding the steps... (answered by richard1234,MathTherapy)
I need to find an equation that passes through (4,-2) and is perpendicular to x=5/4y-2. I (answered by stanbon)
Simplify the following complex fraction (y+2)/3y divided by y-(4/y) I get I have to... (answered by josgarithmetic,MathTherapy)