a; (-5) + 11 + 17 + (-3)
= - 5 + 11 + 17 - 3
= - (5 + 3) + (11 + 17)
= - 8 + 28
= 20
b; \(\dfrac{17}{8}\) - \(\dfrac{5}{8}\) + \(\dfrac{-7}{8}\) + \(\dfrac{11}{8}\)
= \(\dfrac{12}{8}\) - \(\dfrac{7}{8}\) + \(\dfrac{11}{8}\)
= \(\dfrac{5}{8}\) + \(\dfrac{11}{8}\)
= \(\dfrac{16}{8}\)
= 2
c; \(\dfrac{4}{11}\) + \(\dfrac{-5}{13}\) + \(\dfrac{7}{11}\) + \(\dfrac{-8}{13}\)
= (\(\dfrac{4}{11}\) + \(\dfrac{7}{11}\)) - (\(\dfrac{5}{13}\) + \(\dfrac{8}{13}\))
= \(\dfrac{11}{11}\) - \(\dfrac{13}{13}\)
= 1 - 1
= 0
d; \(\dfrac{-9}{23}\).(\(\dfrac{5}{3}\))2 + \(\dfrac{1}{46}\).(-2)2
= - \(\dfrac{9}{23}\).\(\dfrac{25}{9}\) + \(\dfrac{1}{46}\).4
= - \(\dfrac{25}{23}\) + \(\dfrac{2}{23}\)
= - \(\dfrac{23}{23}\)
= - 1