Question

Answer 1

a) \(\dfrac{-5}{4}+\dfrac{3}{4}=\dfrac{-2}{4}=\dfrac{-1}{2}\)

b) \(\dfrac{3}{13}:\dfrac{3}{-13}.\dfrac{1}{18}=\dfrac{3}{13}.\dfrac{-13}{3}.\dfrac{1}{18}=\dfrac{1}{1}.\dfrac{-1}{1}.\dfrac{1}{18}=\dfrac{-1}{18}\)

c) \(\dfrac{1}{3}+\dfrac{5}{8}-\dfrac{2}{3}+\dfrac{-5}{8}=\left(\dfrac{1}{3}-\dfrac{2}{3}\right)+\left(\dfrac{5}{8}+\dfrac{-5}{8}\right)=\dfrac{-1}{3}\)

d) \(\dfrac{-5}{7}.\dfrac{2}{11}+\dfrac{-5}{7}.\dfrac{9}{11}-\dfrac{-5}{7}=\dfrac{-5}{7}.\left(\dfrac{2}{11}+\dfrac{9}{11}-1\right)=\dfrac{-5}{7}.0=0\)