c) C = \(\dfrac{3}{13}.\dfrac{9}{4}+\dfrac{3}{4}.\dfrac{4}{-13}-\dfrac{3}{13}.\dfrac{1}{4}+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}.\dfrac{9}{4}+\dfrac{3}{13}.\dfrac{-4}{4}-\dfrac{3}{13}.\dfrac{1}{4}+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}.\left(\dfrac{9}{4}+\dfrac{-4}{4}-\dfrac{1}{4}\right)+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}.\left(\dfrac{9+\left(-4\right)-1}{4}\right)+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}.\dfrac{4}{4}+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}.1+\dfrac{10}{13}\)
C = \(\dfrac{3}{13}+\dfrac{10}{13}\)
C = \(\dfrac{13}{13}\)
C = 1