Question 119813
{{{1/2+(2/3)/(3/4)-(4/5)*(5/6)}}} Start with the given expression






{{{1/2+(2/3)*(4/3)-(4/5)*(5/6)}}} Multiply the upper fraction {{{2/3}}} by the reciprocal of  the lower fraction {{{3/4}}}



{{{1/2+8/9-20/30}}} Multiply the fractions




{{{1/2+8/9-2/3}}} Reduce



{{{(9/9)(1/2)+(2/2)(8/9)-(6/6)(2/3)}}} Multiply the first fraction by {{{9/9}}}. Multiply the second fraction by {{{2/2}}}. Multiply the third fraction by {{{6/6}}}.




{{{9/18+16/18-12/18}}} Multiply the fractions




{{{(9+16-12)/18}}} Combine the fractions




{{{13/18}}} Combine the numerators






So {{{1/2+(2/3)/(3/4)-(4/5)*(5/6)=13/18}}}