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Mathematics

Evaluate:

711÷(344)\dfrac{-7}{11} ÷ \Big(\dfrac{-3}{44}\Big)

Rational Numbers

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Answer

711÷344=711×443=7×4411×3=30833=283=913\dfrac{-7}{11} ÷ \dfrac{-3}{44}\\[1em] = -\dfrac{7}{11} \times -\dfrac{44}{3}\\[1em] = \dfrac{7 \times 44}{11 \times 3}\\[1em] = \dfrac{308}{33}\\[1em] = \dfrac{28}{3}\\[1em] = 9\dfrac{1}{3}

Hence, 711÷(344)=913\dfrac{-7}{11} ÷ \Big(\dfrac{-3}{44}\Big) = 9\dfrac{1}{3}

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