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a: \(A=\dfrac{1}{9}:\dfrac{1}{9}:\left(\dfrac{10+7}{15}:\dfrac{12-5}{30}\right)\)
\(=1:\left(\dfrac{17}{15}\cdot\dfrac{30}{7}\right)=1:\dfrac{34}{7}=\dfrac{7}{34}\)
b: \(=\left(5.6+0.64\right)\cdot1.25\cdot\dfrac{19}{3}+31.64\)
\(=\dfrac{39}{5}\cdot\dfrac{19}{3}+\dfrac{791}{25}=\dfrac{2026}{25}\)
\(A=\left[0,8.7\left(0,8\right)^2\right].\left(1,25.7-\frac{4}{5}.1,25\right)+31,64\)
\(=0,8.\left(7+0,8\right).1,25.\left(7-0,8\right)+31,64\)
\(=0,8.7,8.1,25.6,2+31,64\)
\(=6,24.7,75+31,64\)
\(=48,36+31,64=80\)
\(B=\frac{\left(1,09-0,29\right).\frac{5}{4}}{\left(18,9-16,65\right).\frac{8}{9}}=\frac{0,8.1,25}{2,25.\frac{8}{9}}=\frac{1}{2}\)
\(A:B=80:\frac{1}{2}=160\)
Vậy A gấp 160 lần B.
\(A=\left(\frac{1}{4}-\frac{\frac{1}{4}+\frac{1}{9}}{\frac{1}{9}}\right):\left(\frac{2}{3}+\frac{\frac{7}{15}}{\frac{2}{5}-\frac{1}{6}}\right)\)
\(A=\left(\frac{1}{4}-\frac{\frac{9}{36}+\frac{4}{36}}{\frac{1}{9}}\right):\left(\frac{2}{3}+\frac{\frac{7}{15}}{\frac{12}{30}-\frac{5}{30}}\right)\)
\(A=\left(\frac{1}{4}-\frac{\frac{13}{36}}{\frac{1}{9}}\right):\left(\frac{2}{3}+\frac{\frac{7}{15}}{\frac{7}{30}}\right)\)
\(A=\left(\frac{1}{2}-\frac{13}{4}\right):\left(\frac{2}{3}+2\right)\)
\(A=\left(\frac{4}{8}-\frac{26}{8}\right):\left(\frac{2}{3}+\frac{6}{3}\right)\)
\(A=\left(-\frac{11}{4}\right):\left(\frac{8}{3}\right)\)
\(A=\left(-\frac{11}{4}\right).\left(\frac{3}{8}\right)=\frac{-11.3}{4.8}=-\frac{33}{32}.\)
a: \(A=\left(0+1\right):\left(\dfrac{2}{3}+\dfrac{7}{6}-\dfrac{1}{6}\right)=1:\dfrac{5}{3}=\dfrac{3}{5}\)
b: \(B=\left[0.8\cdot15\right]\cdot\left[1.25\cdot\dfrac{19}{3}\right]+31.64=15\cdot\dfrac{95}{12}+31.64=150.39\)