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Question
Re-arrange suitably and find the sum in each of the following:
\[\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}\]
Sum
Solution
\[(\frac{- 6}{7} + \frac{- 15}{7}) + \frac{- 5}{6} + \frac{- 4}{9}\]
\[ = \left( \frac{- 6 - 15}{7} \right) + \frac{- 5}{6} + \frac{- 4}{9}\]
\[ = \frac{- 21}{7} + \frac{- 5}{6} + \frac{- 4}{9}\]
\[ = \frac{- 378 - 105 - 56}{126}\]
\[ = \frac{- 539}{126}\]
\[ = \frac{- 77}{18}\]
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