d) \(\left[6+\left(\dfrac{1}{2}\right)^2-\left|-\dfrac{1}{2}\right|\right]:\dfrac{3}{12}\)
\(=\left(6+\dfrac{1}{4}-\dfrac{1}{2}\right):\dfrac{3}{12}\)
\(=\left(6-\dfrac{1}{4}\right):\dfrac{3}{12}\)
\(=\dfrac{23}{4}:\dfrac{3}{12}\)
\(=\dfrac{23}{4}\cdot\dfrac{12}{3}\)
\(=23\)
e) \(\dfrac{17}{3}:\left(\dfrac{1}{7}+\dfrac{5}{3}\right)+\dfrac{17}{3}:\left(\dfrac{8}{3}-\dfrac{6}{7}\right)\)
\(=\dfrac{17}{3}:\dfrac{38}{21}+\dfrac{17}{3}:\dfrac{38}{21}\)
\(=\dfrac{17}{3}\cdot\dfrac{21}{38}+\dfrac{17}{3}\cdot\dfrac{21}{38}\)
\(=2\cdot\dfrac{21}{38}\cdot\dfrac{17}{3}\)
\(=\dfrac{119}{19}\)
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