Question 29907
one-half a number  {{{ 1x/2 }}}
five-sixths of the number {{{ 5x/6 }}}
{{{ 5x/6 - 1x/2 = 6 }}} make all fractions have a common denom of 6
{{{ 5x/6 - (1x/2)(3/3) = 6(6/6) }}}
{{{ 5x/6 - 3x/6 = 36/6 }}} since all denoms are 6 and it is an equation, drop the denom.
{{{ 5x - 3x = 36 }}} combine like terms
{{{ 2x = 36 }}} divide by 2
{{{ x = 18 }}}
Plug back in to check
{{{ 5(18)/6 - 1(18)/2 = 6 }}} 
{{{ 90/6 - 18/2 = 6 }}} reduce the fractions
{{{ 15 - 9 = 6 }}}
{{{ 6 = 6 }}} YES!!!