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Mathematics

Divide:

34-\dfrac{3}{4} by 916-\dfrac{9}{16}

Rational Numbers

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Answer

34÷916=34×169=3×164×9=4836=43=113-\dfrac{3}{4} ÷ -\dfrac{9}{16}\\[1em] = -\dfrac{3}{4} \times -\dfrac{16}{9}\\[1em] = \dfrac{3 \times 16}{4 \times 9}\\[1em] = \dfrac{48}{36}\\[1em] = \dfrac{4}{3}\\[1em] = 1\dfrac{1}{3}

Hence, 34÷916=113-\dfrac{3}{4} ÷ -\dfrac{9}{16} = 1\dfrac{1}{3}

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