1) \(\left|\dfrac{-1}{7}+\dfrac{-4}{3}\right|+\dfrac{-5}{2}\)
\(=\left|\dfrac{-31}{21}\right|+\dfrac{-5}{2}\)
\(=\dfrac{31}{21}+\dfrac{-5}{2}=\dfrac{-43}{42}.\)
2) \(\dfrac{-3}{2}+\left|\dfrac{-4}{7}\right|+\left|\dfrac{-1}{5}\right|\)
\(=\dfrac{-3}{2}+\dfrac{4}{7}+\dfrac{1}{5}\)
\(=\dfrac{-51}{70}.\)
1) \(\left|\dfrac{-1}{7}+\dfrac{-4}{3}\right|+\dfrac{-5}{2}\)
= \(\left|\dfrac{-3}{21}+\dfrac{-28}{21}\right|+\dfrac{-5}{2}\)
= \(\left|\dfrac{-31}{21}\right|+\dfrac{-5}{2}\)
= \(\dfrac{31}{21}+\dfrac{-5}{2}\)
= \(\dfrac{62}{42}\)+\(\dfrac{-105}{42}\)
= \(\dfrac{-43}{42}\)
2) \(\dfrac{-3}{2}+\left|\dfrac{-4}{7}\right|+\left|\dfrac{-1}{5}\right|\)
= \(\dfrac{-3}{2}+\dfrac{4}{7}+\dfrac{1}{5}\)
= \(\dfrac{-105}{70}+\dfrac{40}{70}+\dfrac{14}{70}\)
= \(\dfrac{-51}{70}\)