Question 829505
<pre>
{{{(3/4-2/3) + (1/2 + 1/3)}}}

The denominators 4, 3, 2, and 3 have least common denominator 12

To cause the denominator of {{{3/4}}} to be 12 we multiply top and bottom by 3.
To cause the denominator of {{{2/3}}} to be 12 we multiply top and bottom by 4. 
To cause the denominator of {{{1/2}}} to be 12 we multiply top and bottom by 6.
To cause the denominator of {{{1/3}}} to be 12 we multiply top and bottom by 4.

{{{((3*3)/(4*3)-(2*4)/(3*4)) + ((1*6)/(2*6) + (1*4)/(3*4))}}}

{{{(9/12-8/12) + (6/12 + 4/12)}}}

{{{1/12+10/12}}}

{{{11/12}}}

Edwin</pre>