Question 29480
{{{(4 + 2/x) / (x/4 + 1/8)}}}
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
{{{(8/8)*((4 + 2/x) / (x/4 + 1/8))}}}
{{{8*(4 + 2/x) / (2*x + 1)}}}
multiply top and bottom by x
{{{(x/x)*(8*(4 + 2/x) / (2*x + 1))}}}
{{{(32*x + 16) / (2*x^2 + x)}}}
{{{(16*(2*x + 1)) / (x* (2*x + 1))}}}
{{{16 / x}}} answer
check
{{{(4 + 2/x) / (x/4 + 1/8) = 16/x}}}
multiply both sides by x
{{{(4*x + 2) / (x/4 + 1/8) = 16}}}
divide both sides by 16
{{{(4*x + 2) / (4*x + 2) = 1}}}
OK
notice that 0 can't be a solution for x division by zero is not allowed