Write the reciprocal of −817+−817-\dfrac{8}{17} + \dfrac{-8}{17}−178+17−8.
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−817+−817=−8+(−8)17=−1617-\dfrac{8}{17} + \dfrac{-8}{17}\\[1em] = \dfrac{-8 + (-8)}{17}\\[1em] = \dfrac{-16}{17}−178+17−8=17−8+(−8)=17−16
The reciprocal of −1617=−1716\dfrac{-16}{17} = -\dfrac{17}{16}17−16=−1617.
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