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-5/17 . 31/33 + (-5/17) . 33/2 + 9/17
= -5/17.(31/33 + 33/2) + 9/17
= -5/17 . 1151/66 + 9/17
= -5755/1122 + 9/17
= -5161/1122
$\textbf{Ta có:}$
$A=\dfrac{-5^2-5\cdot3^2}{5^3+5^2\cdot3^2}$
$=\dfrac{-25-45}{125+225}$
$=\dfrac{-70}{350}$
$=-\dfrac15.$
Và
$B=\dfrac{2^{12}\cdot3^{10}+6^9\cdot120}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}$
$=\dfrac{2^{12}3^{10}+2^{12}3^{10}\cdot5}{2^{11}3^{11}(2\cdot3-1)}$
$=\dfrac{2^{12}3^{10}(1+5)}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^{12}3^{10}\cdot6}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^2}{5}$
$=\dfrac45.$
=> $M=B-A$$=\dfrac45-\left(-\dfrac15\right)$
$=\dfrac55$$=1.$
a) \(\frac{2}{3}x\times\frac{1}{2}=\frac{1}{10}\Rightarrow\frac{2}{3}x=\frac{1}{5}\Rightarrow x=\frac{3}{10}\)
\(\frac{3}{4}+\frac{-1}{3}+\frac{-5}{18}\)
\(=\frac{5}{12}+\frac{-5}{18}\)
\(=\frac{5}{36}\)
Ta có: \(\frac{-1}{9}\cdot\frac{-3}{5}-\frac56\cdot\frac{3}{-5}+\frac{-5}{2}\cdot\frac35\)
\(=\frac19\cdot\frac35+\frac56\cdot\frac35+\frac35\cdot\frac{-5}{2}\)
\(=\frac35\left(\frac19+\frac56-\frac52\right)\)
\(=\frac35\left(\frac{2}{18}+\frac{15}{18}-\frac{45}{18}\right)=\frac35\cdot\frac{2-30}{18}=\frac35\cdot\frac{-28}{18}=\frac35\cdot\frac{-14}{9}=\frac{-42}{45}=-\frac{14}{15}\)