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Mathematics

Find the sum:

−717+617\dfrac{-7}{17} + \dfrac{6}{17}

Rational Numbers

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Answer

Both rational numbers have the same (positive) denominator 17, so add the numerators keeping the denominator the same.

−717+617=(−7)+617=−117\dfrac{-7}{17} + \dfrac{6}{17} = \dfrac{(-7) + 6}{17} \\[1em] = \dfrac{-1}{17}

Hence, −717+617=−117\mathbf{\dfrac{-7}{17} + \dfrac{6}{17} = \dfrac{-1}{17}}.

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