a: \(\dfrac{11}{24}-\dfrac{5}{41}+\dfrac{13}{24}+0,5-\dfrac{36}{41}\)
\(=\left(\dfrac{11}{24}+\dfrac{13}{24}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)+0,5\)
=1-1+0,5
=0,5
b: \(\left(-0,5+\dfrac{2}{3}-\dfrac{1}{4}\right)\cdot\left(0,5-\dfrac{3}{4}\right)^2\)
\(=\left(-\dfrac{6}{12}+\dfrac{8}{12}-\dfrac{3}{12}\right)\cdot\left(\dfrac{2}{4}-\dfrac{3}{4}\right)^2\)
\(=\left(-\dfrac{1}{12}\right)\cdot\dfrac{1}{16}=\dfrac{-1}{192}\)
c: \(-4\cdot\sqrt{\dfrac{4}{25}}+6\cdot\sqrt{0,16}-7\cdot\sqrt{0,04}+0\cdot\sqrt{2011}\)
\(=-4\cdot\dfrac{2}{5}+6\cdot0,4-7\cdot0,2\)
\(=-\dfrac{8}{5}+\dfrac{12}{5}-\dfrac{7}{5}=\dfrac{-3}{5}\)
d: \(\left|\dfrac{4}{7}-\dfrac{1}{14}\right|-\sqrt{\dfrac{36}{25}}+\left(\dfrac{7}{20}\right)^8:\left(\dfrac{7}{20}\right)^7\)
\(=\left|\dfrac{8}{14}-\dfrac{1}{14}\right|-\dfrac{6}{5}+\dfrac{7}{20}\)
\(=\dfrac{1}{2}-\dfrac{6}{5}+\dfrac{7}{20}=\dfrac{10}{20}-\dfrac{24}{20}+\dfrac{7}{20}=\dfrac{-7}{20}\)