Ta có: \(\dfrac{5}{2}+\dfrac{4}{11}+\dfrac{3}{22}+\dfrac{1}{30}+\dfrac{13}{60}\)
= \(\dfrac{5.11}{2.11}+\dfrac{4.2}{11.2}+\dfrac{3}{22}+\dfrac{1.2}{30.2}+\dfrac{13}{60}\)
= \(\dfrac{55}{22}+\dfrac{8}{22}+\dfrac{3}{22}+\dfrac{2}{60}+\dfrac{13}{60}\)
= \(\dfrac{55+8+3}{22}+\dfrac{2+13}{60}\)
=\(\dfrac{66}{22}+\dfrac{15}{60}\)
= \(3+\dfrac{1}{4}\)
= \(\dfrac{13}{4}\)