\(\dfrac{-5}{12}+\dfrac{4}{3}-\dfrac{1}{12}\)
\(=\dfrac{-5}{12}+\dfrac{16}{12}-\dfrac{1}{12}\)
\(=\dfrac{-5+16-1}{12}\)
\(=\dfrac{10}{12}=\dfrac{5}{6}\)
a: \(-\dfrac{5}{12}+\dfrac{4}{3}-\dfrac{1}{12}\)
\(=\dfrac{4}{3}-\dfrac{6}{12}\)
\(=\dfrac{4}{3}-\dfrac{1}{2}=\dfrac{8-3}{6}=\dfrac{5}{6}\)
b: \(-\dfrac{18}{8}:\dfrac{5}{4}-\dfrac{1}{2}\)
\(=-\dfrac{18}{8}\cdot\dfrac{4}{5}-\dfrac{1}{2}\)
\(=-\dfrac{18}{10}-\dfrac{1}{2}\)
\(=\dfrac{-18-5}{10}=-\dfrac{23}{10}\)
c: \(1+\dfrac{14}{5}:\dfrac{7}{2}-\left(-\dfrac{1}{5}\right)\)
\(=1+\dfrac{1}{5}+\dfrac{14}{5}\cdot\dfrac{2}{7}\)
\(=\dfrac{6}{5}+\dfrac{4}{5}=\dfrac{10}{5}=2\)
