PL

a) A = \(\left[\dfrac{193}{-17}.\left(\dfrac{2}{193}-\dfrac{3}{386}\right)+\dfrac{11}{34}\right]:\left[\left(\dfrac{7}{1931}+\dfrac{11}{3862}\right).\dfrac{1931}{25}+\dfrac{9}{2}\right]\)

b) B =\(\dfrac{\left(\dfrac{53}{4}+2\dfrac{5}{27}-\dfrac{65}{6}\right).\left(230+\dfrac{1}{25}\right)46\dfrac{3}{4}}{\left(\dfrac{24}{7}+3\dfrac{1}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)
c) C = \(\dfrac{\left(\dfrac{-5}{7}-\dfrac{7}{9}+\dfrac{9}{11}-\dfrac{11}{13}\right).\left(3-\dfrac{3}{4}\right)}{\left(\dfrac{10}{21}+\dfrac{14}{27}-\dfrac{6}{11}+\dfrac{22}{39}\right).\left(2-\dfrac{2}{3}\right)}\)

H24
19 tháng 9 2024 lúc 20:56

\(a,A=\left[\dfrac{193}{-17}\cdot\left(\dfrac{2}{193}-\dfrac{3}{386}\right)+\dfrac{11}{34}\right]:\left[\left(\dfrac{7}{1931}+\dfrac{11}{3862}\right)\cdot\dfrac{1931}{25}+\dfrac{9}{2}\right]\)

\(\Rightarrow A=\left[\dfrac{193}{-17}\cdot\dfrac{1}{386}+\dfrac{11}{34}\right]:\left[\dfrac{25}{3862}\cdot\dfrac{1931}{25}+\dfrac{9}{2}\right]\)

\(\Rightarrow A=\left[\dfrac{1}{-17}\cdot\dfrac{1}{2}+\dfrac{11}{34}\right]:\left[\dfrac{1}{2}\cdot1+\dfrac{9}{2}\right]\)

\(\Rightarrow A=\left[-\dfrac{1}{34}+\dfrac{11}{34}\right]:\left[\dfrac{1}{2}+\dfrac{9}{2}\right]\)

\(\Rightarrow A=\dfrac{5}{17}:5\)

\(\Rightarrow A=\dfrac{5}{17}\cdot\dfrac{1}{5}\)

\(\Rightarrow A=\dfrac{1}{17}\)

 

 

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T3
19 tháng 9 2024 lúc 20:39

\(a,A=\left[\dfrac{193}{-17}.\left(\dfrac{2}{193}-\dfrac{3}{386}\right)+\dfrac{11}{34}\right]:\left[\left(\dfrac{7}{1931}+\dfrac{11}{3862}\right).\dfrac{1931}{25}+\dfrac{9}{2}\right]\)
\(A=\left[\dfrac{-193}{17}.\left(\dfrac{4}{386}-\dfrac{3}{386}\right)+\dfrac{11}{34}\right]:\left[\left(\dfrac{14}{3862}+\dfrac{11}{3862}\right).\dfrac{1931}{25}+\dfrac{9}{2}\right]\)
\(A=\left[\dfrac{-193}{17}.\dfrac{1}{386}+\dfrac{11}{34}\right]:\left[\dfrac{25}{3862}.\dfrac{1931}{25}+\dfrac{9}{2}\right]\)
\(A=\left[\dfrac{-1}{34}+\dfrac{11}{34}\right]:\left[\dfrac{1}{2}+\dfrac{9}{2}\right]\)
\(A=\dfrac{10}{34}:\dfrac{10}{2}\)
\(A=\dfrac{5}{17}:5\)
\(A=\dfrac{5}{7}.\dfrac{1}{5}\)
\(A=\dfrac{1}{7}\)

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