Question 586443
{{{ 1/2 + ( (2/3) / (3/4) )-( (4/5)*(5/6) ) }}}
Separate ou the 2nd term and multiply 
the top and bottom by {{{ 4/3 }}}
{{{ ( (2/3) / (3/4) )*( (4/3) / (4/3) ) }}}
{{{ ( 4/3*2/3 ) / 1 }}}
{{{ 8/9 }}}
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So far I have
{{{ 1/2 + 8/9 - ( (4/5)*(5/6) ) }}}
{{{ 1/2 + 8/9 - 4/6 }}} 
{{{ 1/2 + 8/9 - 2/3 }}}
The common denominator is {{{18}}}
{{{ 9/18 + 16/18 - 12/18 }}}
{{{ 25/18 - 12/18 }}}
{{{ 13/18 }}} answer
I like to check using decimals
{{{ 1/2 + ( (2/3) / (3/4) )-( (4/5)*(5/6) ) }}}
{{{ .5 + ( .667/.75 ) - .8*.833 }}}
{{{ .5 + .88933 - .6664 }}}
{{{ .72293 }}}
and
{{{ 13/18 = .7222 }}}
I think the error is due to rounding off