Ta có \(1\frac{1}{2}=\frac{3}{2}\); \(2\frac{2}{3}=\frac{8}{3}\); \(3\frac{3}{4}=\frac{15}{4}\);.....;\(50\frac{50}{51}=\frac{50.51+50}{51}\)
=> \(\left(\frac{3}{2}+\frac{1}{2}\right)+\left(\frac{8}{3}+\frac{1}{3}\right)+.....+\left(\frac{50.51+50}{51}+\frac{1}{51}\right)\)
=> 2+3+.....+51=\(\frac{50.53}{2}\)=1325