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Question
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]
Sum
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Solution
\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]
\[ = \frac{- 24}{30} + \frac{- 21}{30} + \frac{- 16}{30}\]
\[ = \frac{( - 24) + ( - 21) + ( - 16)}{30}\]
\[ = \frac{- 24 - 21 - 16}{30}\]
\[ = \frac{- 61}{30}\]
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