Đặt A = $\frac{1}{1.3}$ + $\frac{1}{3.5}$ +...+ $\frac{1}{79.81}$
2A = $\frac{2}{1.3}$ + $\frac{2}{3.5}$ +...+ $\frac{2}{79.81}$
2A = 1 - $\frac{1}{3}$ + $\frac{1}{3}$ - $\frac{1}{5}$ + ...+ $\frac{1}{79}$ - $\frac{1}{81}$
2A = 1 - $\frac{1}{81}$
2A = $\frac{80}{81}$
A = $\frac{80}{81}$ : 2
A = $\frac{40}{81}$