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\(\dfrac{2}{3}-4\left(\dfrac{1}{2}+\dfrac{3}{4}\right)\\ =\dfrac{2}{3}-4.\dfrac{2+3}{4}\\ =\dfrac{2}{3}-4.\dfrac{5}{4}\\ =\dfrac{2}{3}-5\\ =\dfrac{2-15}{3}\\ =\dfrac{-13}{3}\)
`a)2/3-4(1/2+3/4)`
`=2/3-4*1/2-4*3/4`
`=2/3-2-3`
`=2/3-5`
`=2/3-15/3`
`=-13/3`
[1-(3/4-2/3)] - [1-(5/3-1/4)] - [1-(4/3+3/4)]
\(=\left[1-\left(\frac{3}{4}-\frac{2}{3}\right)\right]-\left[1-\left(\frac{5}{3}-\frac{1}{4}\right)\right]-\left[1-\left(\frac{4}{3}+\frac{3}{4}\right)\right]\)
\(=\left[1-\frac{1}{12}\right]-\left[1-\frac{17}{12}\right]-\left[1-\frac{25}{12}\right]\)
\(=\frac{11}{12}-\left(-\frac{5}{12}\right)-\left(-\frac{13}{12}\right)\)
\(=\frac{11}{12}+\frac{5}{12}+\frac{13}{12}\)
\(=\frac{29}{12}\)
b: \(\Leftrightarrow\left[{}\begin{matrix}2x-1=3\\2x-1=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
\(=\left(3.5-0.5\right)\cdot\dfrac{1}{27}+\dfrac{4}{3}=\dfrac{1}{9}+\dfrac{4}{3}=\dfrac{1}{9}+\dfrac{12}{9}=\dfrac{13}{9}\)
2 3 − 4. 1 2 + 3 4 = 2 3 − 4. 5 4 = 2 3 − 5 = − 13 3