\(a.\dfrac{17}{13}-\dfrac{14}{23}+\dfrac{9}{13}-\dfrac{9}{23}.\\\left(\dfrac{17}{13}+\dfrac{9}{13}\right)-\left(\dfrac{14}{23}+\dfrac{9}{23}\right).\\ =2+1=3.\)
\(b.\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{4}{5}+\dfrac{12}{9}+\dfrac{28}{16}+\dfrac{48}{15}.\\ =\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{4}{5}+\dfrac{4}{3}+\dfrac{7}{4}+\dfrac{16}{5}.\\ =\left(\dfrac{2}{3}+\dfrac{4}{3}\right)+\left(\dfrac{3}{4}+\dfrac{7}{4}\right)+\left(\dfrac{4}{5}+\dfrac{16}{5}\right).\\ =2+\dfrac{5}{2}+4.\\ =\dfrac{5}{2}+6=\dfrac{17}{2}.\)
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