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Question
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}\]
Sum
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Solution
\[\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}\]
\[ = \frac{- 54}{60} + \frac{88}{60} + \frac{- 39}{60}\]
\[ = \frac{( - 54) + 88 + ( - 39)}{60}\]
\[ = \frac{- 54 + 88 - 39}{60}\]
\[ = \frac{- 5}{60}\]
\[ = \frac{- 1}{12}\]
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