Thực hiện phép tính: \({\left( {\dfrac{{ - 1}}{6}} \right)^2}:\dfrac{5}{{ - 24}} + \left( {\dfrac{7}{{25}} - 36\% } \right).\left| { - 8\dfrac{1}{3}} \right|\)
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Lời giải:
Báo sai\(\begin{array}{l}d)\,{\left( {\dfrac{{ - 1}}{6}} \right)^2}:\dfrac{5}{{ - 24}} + \left( {\dfrac{7}{{25}} - 36\% } \right).\left| { - 8\dfrac{1}{3}} \right|\\ = \dfrac{1}{{36}}:\dfrac{5}{{ - 24}} + \left( {\dfrac{7}{{25}} - \dfrac{{36}}{{100}}} \right).\dfrac{{25}}{3}\\ = \dfrac{1}{{36}}.\dfrac{{ - 24}}{5} + \left( {\dfrac{{28}}{{100}} - \dfrac{{36}}{{100}}} \right).\dfrac{{25}}{3}\\ = \dfrac{{ - 2}}{{15}} + \dfrac{{ - 8}}{{100}}.\dfrac{{25}}{3}\\ = \dfrac{{ - 2}}{{15}} + \dfrac{{ - 2}}{3}\\ = \dfrac{{ - 2}}{{15}} + \dfrac{{ - 10}}{{15}}\\ = \dfrac{{ - 12}}{{15}} = \dfrac{{ - 4}}{5}\end{array}\)