Question

1 5/6 + (-2 3/4 ) what’s the answer

Answer 1

Answer:

$-\frac{11}{12}$

Step-by-step explanation:

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

$=\frac{22}{12}-\frac{33}{12}\\\\=\frac{22-33}{12}\\\\=\frac{-11}{12}\\\\=-\frac{11}{12}$