Question

find the sum of 1/9+-5/6+-2/3​

Answer 1

$(\frac{1}{9} ) + ( - \frac{5}{6} ) + ( - \frac{2}{3} ) \\ \\ = ( \frac{1}{9} ) -( \frac{5}{6} ) - ( \frac{2}{3} ) \\ \\ = ( {\frac{(1 \times 6) - (5 \times 9)}{(9 \times 6)}}) - ( \frac{2}{3} ) \\ \\ = ( \frac{(6 - 45)}{54} ) - ( \frac{2}{3} ) \\ \\ = ( - \frac{39}{54} ) - ( \frac{2}{3} ) \\ \\ = \frac{( - 39 \times 3) - (2 \times 54)}{(54 \times 3)} \\ \\ = \frac{( - 117) - (108)}{162} \\ \\ = \frac{ (- 225)}{162} \\ \\ =( - \frac{25}{18} )$