\(=\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}\right)+\dfrac{1}{20}=\left(\dfrac{6}{12}+\dfrac{2}{12}+\dfrac{1}{12}\right)+\dfrac{1}{20}=\dfrac{3}{4}+\dfrac{1}{20}=\dfrac{15}{20}+\dfrac{1}{20}=\dfrac{16}{20}=\dfrac{4}{5}\)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
=1-1/5
=4/5