Question 1203833
<br>
Type everything in your post using your keyboard.  The format you use is extremely awkward.<br>
And I won't try to guess how "dfrac" is different from "frac"....<br>
(1) {{{x/y=4/5}}}
(2) {{{y/z=2/5}}}
(3) {{{z/w=6/11}}}<br>
Find {{{(x+y+w)/z}}}<br>
Method (perhaps not the easiest -- but the most straightforward): express y, z, and w in terms of x.<br>
{{{x/y=4/5}}}
{{{4y=5x}}}
{{{y=(5/4)x}}}<br>
{{{y/z=2/5}}}
{{{2z=5y=5(5/4)x=(25/4)x}}}
{{{z=(25/8)x}}}<br>
{{{z/w=6/11}}}
{{{6w=11z=11(25/8)x=(275/8)x}}}
{{{w=(275/48)x}}}<br>
{{{(x+y+w)/z=((x)+(5/4)x+(275/48)x)/((25/8)x)=(1+5/4+275/48)/(25/8)=((48+60+275)/48)*(8/25)=383/150}}}<br>
ANSWER: 383/150<br>