Question 1131507
Zach has 3/4 hour to play video games.
 It takes him 1/12 hour to set up the system.
 Each round of his favorite game takes 1/6 hour.
 How many rounds can he play? 
:
let n = no. of video games played
{{{1/6}}}n + {{{1/12}}} = {{{3/4}}}
multiply equation by 12
12*{{{1/6}}}n + 12*{{{1/12}}} = 12*{{{3/4}}}
cancel the denominators
2n + 1 = 3(3)
2n + 1 = 9
2n = 9 - 1`
n = {{{8/2}}}
n = 4 video games
:
:
Check: 
{{{4/6}}} + {{{1/12}}} = 
{{{8/12}}} + {{{1/12}}} = {{{9/12}}} = {{{3/4}}}