Tính $\dfrac{\left(\dfrac{11^2}{200}+0,415\right):\dfrac{1}{1000}}{\dfrac{1}{12}-37,25+3\dfrac{1}{6}}÷\dfrac{5^2.\ 4}{2}$.
Tính $\dfrac{\left(\dfrac{11^2}{200}+0,415\right):\dfrac{1}{1000}}{\dfrac{1}{12}-37,25+3\dfrac{1}{6}}÷\dfrac{5^2.\ 4}{2}$.
`((11^2/200 + 0,415) : 1/1000)/(1/12 – 37,25 + 3 1/6) : (5^2 . 4)/2`
`= ((121/200 + 415/1000) . 1000)/(1/12 – 149/4 + 19/6) : (5^2 . 2 . 2)/2`
`= ((121/200 + 83/200) . 1000)/(1/12 – 446 + 38) : (5^2 . 2)`
`= (102/100 . 1000) : 50`
`= 1020/-34 : 50`
`= -30 : 50`
`= -0,6`
$\dfrac{\left(\dfrac{11^2}{200}+0,415\right):\dfrac{1}{1000}}{\dfrac{1}{12}-37,25+3\dfrac{1}{6}}:\dfrac{5^2. 4}{2}$
$=\dfrac{\left(\dfrac{121}{200}+\dfrac{83}{200}\right):\dfrac{1}{1000}}{\dfrac{1}{12}-\dfrac{149}{4}+\dfrac{19}{6}} : \dfrac{25.4}{2}$
$=\dfrac{\dfrac{121+83}{200} . 1000}{\dfrac{1-149.3+19.2}{12}} : 50$
$=\dfrac{\dfrac{204}{200} . 1000 } {\dfrac{-408}{12}} : 50=\dfrac{1020}{-34} : 50 = -30:50=-0,6$