Question

Answer 1

a: \(A=\left(-\dfrac{5}{7}-\dfrac{2}{7}\right)+\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{1}{2}=\dfrac{1}{2}\)

b: \(B=\left(\dfrac{11}{17}+\dfrac{6}{17}\right)+\left(-\dfrac{8}{19}-\dfrac{30}{19}\right)-\dfrac{3}{4}=-1-\dfrac{3}{4}=-\dfrac{7}{4}\)

c: \(C=\dfrac{1}{11}\left(10+\dfrac{3}{11}+\dfrac{8}{11}\right)=\dfrac{1}{11}\cdot11=1\)

d: \(D=\dfrac{5}{11}\left(\dfrac{40}{7}-\dfrac{111}{7}\right)=\dfrac{5}{11}\cdot\dfrac{-71}{7}=\dfrac{-355}{77}\)