Cho \(A=\frac{\left(9\frac{3}{4}:5,2+3,4\cdot2\frac{7}{37}\right):1\frac{9}{16}}{0,31\cdot8\frac{2}{5}-5,61:27\frac{1}{2}}\)
a, Rút gọn A
b, Tìm \(25\%\)của A
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\(\left(9\frac{2}{4}:5,2+3,4.2\frac{7}{34}\right):\left(-1\frac{9}{16}\right)\)
\(=\left(\frac{19}{2}:\frac{26}{5}+\frac{17}{5}.\frac{75}{34}\right):\left(\frac{-25}{16}\right)\)
\(=\left(\frac{19}{2}.\frac{5}{26}+\frac{17}{5}.\frac{75}{34}\right):\left(-\frac{25}{16}\right)\)
\(=\left(\frac{95}{52}+\frac{15}{2}\right).\frac{-16}{25}\)
\(=\frac{485}{52}.\left(-\frac{16}{25}\right)\)
\(=-\frac{388}{65}\)
(Bài này kết quả lớn ghê :))
\(S=\frac{\left(9\frac{3}{8}:5,2+3,4.2\frac{7}{34}\right):1\frac{9}{16}}{0,31.8\frac{2}{2}-5,61:27\frac{1}{3}}\)\(\Rightarrow S=\frac{\left(\frac{75}{8}.\frac{5}{26}+\frac{17}{5}.\frac{75}{34}\right):\frac{25}{16}}{\frac{31}{100}.9-\frac{561}{100}.\frac{3}{82}}\)\(\Rightarrow S=\frac{\left(\frac{75.5}{8.26}-\frac{17.75}{5.34}\right).\frac{16}{25}}{\frac{31.9}{100}-\frac{561.3}{100.82}}\)
\(\Rightarrow S=\frac{\left(\frac{375}{208}-\frac{15}{2}\right).\frac{16}{25}}{\frac{279}{100}-\frac{1682}{8200}}\)\(\Rightarrow S=\frac{\frac{-1185}{208}.\frac{16}{25}}{\frac{21196}{8200}}\)\(\Rightarrow S=\frac{-237}{65}:\frac{21196}{8200}\)\(\Rightarrow S=\frac{-194340}{137774}\)
\(\Rightarrow x=\frac{2}{3}S\Rightarrow x=\frac{2}{3}.\frac{-194340}{137774}\Rightarrow x=\frac{-388680}{413322}\)
\(M=\frac{23\frac{11}{15}-26\frac{13}{20}}{12^2+5^2}:\frac{1-\frac{1}{3}-\frac{1}{42}-\frac{1}{56}}{3^2.13.2}-\frac{19}{37}\)\(\Rightarrow M=\frac{\frac{356}{15}-\frac{533}{20}}{12^2+5^2}:\frac{\frac{5}{8}}{3^2.13.2}-\frac{19}{37}\)
\(\Rightarrow M=\frac{\frac{-35}{12}}{12^2+5^2}.\frac{3^2.13.2}{\frac{5}{8}}-\frac{19}{37}\)\(\Rightarrow M=\frac{-84}{13}-\frac{19}{37}\Rightarrow M=\frac{-3355}{481}\Rightarrow15\%M=\frac{-3355}{481}.15\%\Rightarrow15\%M=\frac{-2013}{1924}\)
bài này không khó. Nhưng đánh máy để giải cho bạn thì thực sự khó