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Question
Re-arrange suitably and find the sum in each of the following:
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Solution
\[ (\frac{4}{13} - \frac{8}{13} + \frac{9}{13}) + \frac{- 5}{8}\]
\[ = \left( \frac{4 - 8 + 9}{13} \right) + \frac{- 5}{8}\]
\[ = \frac{5}{13} + \frac{- 5}{8}\]
\[ = \frac{40 - 65}{104}\]
\[ = \frac{- 25}{104}\]
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