Question

Re-arrange suitably and find the sum in each of the following:

\[\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}\]

Answer 1

\[(\frac{11}{2} + \frac{- 25}{2}) + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \left( \frac{11 - 25}{2} \right) + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \frac{- 14}{2} + \frac{- 17}{3} + \frac{11}{12}\]
\[ = - 7 + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \frac{- 84 - 68 + 11}{12}\]
\[ = \frac{- 141}{12}\]
\[ = \frac{- 47}{4}\]