Question

1 5/6 + (-2 3/4 ) what’s the answer

Answer 1

`-(11)/(12)`

Explanation:

`1(5)/(6)+\left(-2(3)/(4)\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1(5)/(6)=(11)/(6)\\(11)/(6)+\left(-2(3)/(4)\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2(3)/(4)=(11)/(4)\\(11)/(6)+\left(-(11)/(4)\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=(11)/(6)-(11)/(4)\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\`

`=(22)/(12)-(33)/(12)\\\\=(22-33)/(12)\\\\=(-11)/(12)\\\\=-(11)/(12)`