SOLUTION: please help me solve this problem {{{(5/2+4/x)/(1+3/(4x))}}}

Algebra ->  Expressions-with-variables -> SOLUTION: please help me solve this problem {{{(5/2+4/x)/(1+3/(4x))}}}      Log On


   



Question 155547: please help me solve this problem %285%2F2%2B4%2Fx%29%2F%281%2B3%2F%284x%29%29
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(5/2+4/x)/(1+3/(4x)) Find the common denominators (2x) & (4x).
[(5x+2*4)/2x]/[(4x+3)/4x] Invert the second term & multiply.
[(5x+8)/2x] multiply the numerators & denominators.
[4x(5x+8)]/[2x(4x+3)] Cancel out the (2x) terms.
2(5x+8)/(4x+3)
(10x+16)/(4x+3) answer.