Evaluate:
34÷(−512)\dfrac{3}{4} ÷ \Big(-\dfrac{5}{12}\Big)43÷(−125)
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34÷−512=34×−125=−3×124×5=−3620=−95=−145\dfrac{3}{4} ÷ -\dfrac{5}{12}\\[1em] = \dfrac{3}{4} \times -\dfrac{12}{5}\\[1em] = -\dfrac{3 \times 12}{4 \times 5}\\[1em] = -\dfrac{36}{20}\\[1em] = -\dfrac{9}{5}\\[1em] = -1\dfrac{4}{5}43÷−125=43×−512=−4×53×12=−2036=−59=−154
Hence, 34÷(−512)=−145\dfrac{3}{4} ÷ \Big(-\dfrac{5}{12}\Big) = -1\dfrac{4}{5}43÷(−125)=−154
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