d: \(\dfrac{3}{12}-\left(\dfrac{6}{15}-\dfrac{3}{10}\right)\)
\(=\dfrac{1}{4}-\dfrac{2}{5}+\dfrac{3}{10}\)
\(=\dfrac{5}{20}-\dfrac{8}{20}+\dfrac{6}{20}=\dfrac{3}{20}\)
e: \(\left(8\dfrac{5}{11}+3\dfrac{5}{8}\right)-3\dfrac{5}{11}\)
\(=8+\dfrac{5}{11}+3+\dfrac{5}{8}-3-\dfrac{5}{11}\)
\(=8+\dfrac{5}{8}=\dfrac{69}{8}\)
f: \(\dfrac{4}{9}:\left(-\dfrac{1}{7}\right)+6\dfrac{5}{9}:\left(-\dfrac{1}{7}\right)\)
\(=\dfrac{4}{9}\cdot\left(-7\right)+\left(6+\dfrac{5}{9}\right)\cdot\left(-7\right)\)
\(=\left(\dfrac{4}{9}+6+\dfrac{5}{9}\right)\cdot\left(-7\right)=\left(-7\right)\cdot7=-49\)
g: \(-\dfrac{1}{4}\cdot13\dfrac{9}{11}-0,25\cdot6\dfrac{2}{11}\)
\(=-\dfrac{1}{4}\left(13+\dfrac{9}{11}+6+\dfrac{2}{11}\right)\)
\(=-\dfrac{1}{4}\cdot20=-5\)
h: \(5\dfrac{27}{5}+\dfrac{27}{23}+0,5-\dfrac{5}{27}+\dfrac{16}{23}\)
\(=\left(5+\dfrac{27}{5}+0,5\right)-\dfrac{5}{27}+\dfrac{27}{23}+\dfrac{16}{23}\)
\(=11,9-\dfrac{5}{27}+\dfrac{43}{23}\)
\(=\dfrac{119}{10}-\dfrac{5}{27}+\dfrac{43}{23}=\dfrac{84359}{6210}\)
i: \(\dfrac{3}{8}\cdot27\dfrac{1}{5}-51\dfrac{1}{5}\cdot\dfrac{3}{8}+19\)
\(=\dfrac{3}{8}\left(27+\dfrac{1}{5}-51-\dfrac{1}{5}\right)+19\)
\(=\dfrac{3}{8}\cdot\left(-24\right)+19\)
=19-9
=10
