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Question
Simplify:
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Solution
\[(\frac{3}{11} \times \frac{5}{6}) - (\frac{9}{12} \times \frac{4}{3}) + (\frac{5}{13} \times \frac{6}{15})\]
\[ = \frac{5}{22} - 1 + \frac{2}{13}\]
\[ = \frac{5 \times 13 - 286 + 2 \times 22}{286}\]
\[ = \frac{65 - 286 + 44}{286}\]
\[ = \frac{- 177}{286}\]
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