SOLUTION: simplify complex fraction: numerator is x/(x+2) and denominator is 1/x + 1/x+2. I think answer is x^2/2x+2 but not sure how to get it.

Algebra.Com
Question 745496: simplify complex fraction: numerator is x/(x+2) and denominator is 1/x + 1/x+2. I think answer is x^2/2x+2 but not sure how to get it.
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
we are asked to
simplify complex fraction: numerator is x/(x+2) and denominator is 1/x + 1/x+2
note that 1/x +1/(x+2) = x+2+x/x(x+2) then we get
x/(x+2) * x(x+2)/2x+2
cancel the x+2 term and we have
x * x / 2(x+1) = x^2 / 2(x+1)

RELATED QUESTIONS

If f(x)=5/x and g(x)=2/2x+1 , find the functions (a,b) and their domains. a.) (f o... (answered by jim_thompson5910)
The numerator of a fraction is 7 less than the denominator. If 3 is added to the... (answered by richwmiller)
solve 6/(x^2-9)- 1/(x-3) = 1 the 6 is the numerator and (x^2-9) is the... (answered by jim_thompson5910)
I have a complex fraction: This fraction is the numerator: x/x+1 The denominator... (answered by stanbon)
x+1/x(10-x)^1/2 I have to write the negative expression so that is not a fraction. I... (answered by stanbon)
After fully simpifying the expression 2*x^2+7*x+3 over x^2+3*x-4 divided by... (answered by solver91311)
The denominator of a fraction in its simplest form is greater than the numerator by 5. If (answered by greenestamps)
simplify (1 + 2/(x + 2))/(1 + 8/(x - 4)) STEP 2: Multiply the numerator and... (answered by stanbon)
Please help me solve the rational equation: {{{ 2/(x+2) - (1/x) = -4/(x^2+2x) }}} I (answered by ikleyn)