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Mathematics

Evaluate:

512÷116-\dfrac{5}{12} ÷ \dfrac{1}{16}

Rational Numbers

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Answer

512÷116=512×161=5×1612×1=8012=203=623-\dfrac{5}{12} ÷ \dfrac{1}{16}\\[1em] = -\dfrac{5}{12} \times \dfrac{16}{1}\\[1em] = -\dfrac{5 \times 16}{12 \times 1}\\[1em] = -\dfrac{80}{12}\\[1em] = -\dfrac{20}{3}\\[1em] = -6\dfrac{2}{3}

Hence, 512÷116=623-\dfrac{5}{12} ÷ \dfrac{1}{16} = -6\dfrac{2}{3}

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