`3/7 + (-5/2) + (-3/5) = (-29/14) + (-3/5) = -187/70`
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`(-4/3) + (-2/5) + (-3/2) = -26/15 + (-3/2) = -97/30`
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`4/5 - (-2/7) - 7/10 = 4/5 + 2/7 - 7/10 = 38/35 -7/10 = 27/70`
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`2/3 - [(-7/4) - (1/2 + 3/8)]`
`=2/3 - [(-7/4) - 7/8]`
`= 2/3 - (-21/8)`
`= 2/3 + 21/8`
`= 79/24`
a) \(\dfrac{3}{7}+\left(-\dfrac{5}{2}\right)+\left(\dfrac{-3}{5}\right)=\dfrac{30}{70}-\dfrac{175}{70}-\dfrac{42}{70}=\dfrac{-187}{70}\)
b) \(\left(-\dfrac{4}{3}\right)+\left(-\dfrac{2}{5}\right)+\left(-\dfrac{3}{2}\right)=\dfrac{-40}{30}-\dfrac{12}{30}-\dfrac{45}{30}=-\dfrac{97}{30}\)
c) \(\dfrac{4}{5}-\left(-\dfrac{2}{7}\right)-\dfrac{7}{10}=\dfrac{56}{70}+\dfrac{20}{70}-\dfrac{49}{70}=\dfrac{27}{70}\)
d) \(\dfrac{2}{3}-\left[\left(-\dfrac{7}{4}\right)-\left(\dfrac{1}{2}+\dfrac{3}{8}\right)\right]=\dfrac{2}{3}-\left(-\dfrac{7}{4}-\dfrac{1}{2}-\dfrac{3}{8}\right)=\dfrac{2}{3}-\left(-\dfrac{14}{8}-\dfrac{4}{8}-\dfrac{3}{8}\right)=\dfrac{2}{3}+\dfrac{21}{8}=\dfrac{79}{24}\)