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Question
Re-arrange suitably and find the sum in each of the following:
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Solution
\[(\frac{11}{2} + \frac{- 25}{2}) + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \left( \frac{11 - 25}{2} \right) + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \frac{- 14}{2} + \frac{- 17}{3} + \frac{11}{12}\]
\[ = - 7 + \frac{- 17}{3} + \frac{11}{12}\]
\[ = \frac{- 84 - 68 + 11}{12}\]
\[ = \frac{- 141}{12}\]
\[ = \frac{- 47}{4}\]
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