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Question
Divide the sum of \[\frac{- 13}{5}\] and \[\frac{12}{7}\] by the product of\[\frac{- 31}{7} \text{and} \frac{- 1}{2} .\]
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Solution
\[(\frac{- 13}{5} + \frac{12}{7}) \div (\frac{- 31}{7} \times \frac{- 1}{2})\]
\[ = \frac{- 13 \times 7 + 12 \times 5}{35} \div \frac{31}{14}\]
\[ = \frac{- 91 + 60}{35} \div \frac{31}{14}\]
\[ = \frac{- 31}{35} \times \frac{14}{31}\]
\[ = \frac{- 2}{5}\]
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