algebra 2 help please would appreciate
posted by lisa on .
3+(2x/x+4) divide x/x+4
please simplify the complex fraction thank you show work

2 x / x = 2
x / x = 1
[ 3 + ( 2 x / x + 4 ) ] / ( x / x + 4 )=
( 3 + 2 + 4 ) / ( 1 + 4 ) = 9 / 5 
Or, assuming the usual carelessness with parentheses,
(3+(2x/(x+4))) / (x/(x+4))
(3(x+4)+2x)/(x+4) / (x/(x+4))
(3x+12+2x)/x
(5x+12)/x
5 + 12/x
Or even
(3+2x)/(x+4) / x/(x+4)
(3+2x)/x
Or,
3 + (2x/(x+4)) / (x/(x+4))
3 + 2x/x
3+2
5