a: \(\left|-\dfrac{3}{5}+\dfrac{1}{2}\right|-\left|\dfrac{3}{4}-\dfrac{5}{8}\right|+\dfrac{-3}{2}\)
\(=\left|-\dfrac{6}{10}+\dfrac{5}{10}\right|-\left|\dfrac{6}{8}-\dfrac{5}{8}\right|+\dfrac{-3}{2}\)
\(=\dfrac{1}{10}-\dfrac{1}{8}-\dfrac{3}{2}=\dfrac{4}{40}-\dfrac{5}{40}-\dfrac{60}{40}=\dfrac{-61}{40}\)
b: \(\dfrac{1}{5}-\left(\dfrac{3}{10}-\dfrac{-3}{5}\right)-\left|\dfrac{1}{4}-\dfrac{2}{5}\right|\)
\(=\dfrac{1}{5}-\dfrac{3}{10}-\dfrac{3}{5}-\left|\dfrac{5}{20}-\dfrac{8}{20}\right|\)
\(=-\dfrac{2}{5}-\dfrac{3}{10}-\dfrac{3}{20}\)
\(=-\dfrac{8}{20}-\dfrac{6}{20}-\dfrac{3}{20}=\dfrac{-17}{20}\)
c: Sửa đề: \(\left|-5,4\right|+\left|23,2\right|+\left|-4,6\right|+\left(-0,8\right)\)
=5,4+23,2+4,6-0,8
=10+23,2-0,8
=10+22,4
=32,4
d: \(\left(-2\dfrac{1}{7}\right):\left|-1\dfrac{1}{14}\right|\)
\(=-\dfrac{15}{7}:\dfrac{15}{14}=-\dfrac{15}{7}\cdot\dfrac{14}{15}=-\dfrac{14}{7}=-2\)
e: \(\left|-31\right|-\left(28-17+51\right)+\left|28\right|\)
\(=31-28+17-51+28\)
=31+17-51
=48-51=-3
