=> \(\Rightarrow\left(\frac{11}{5}-\frac{11}{7}+\frac{11}{7}-\frac{11}{9}+...+\frac{11}{59}-\frac{11}{61}\right):2=\left(\frac{11}{5}-\frac{11}{61}\right):2=\frac{616}{305}:2=\frac{308}{305}\)
Đặt \(A=\frac{11}{5.7}+\frac{11}{7.9}+...+\frac{11}{59.61}\)
\(\Rightarrow2A:11=\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{59.61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{59}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{1}{5}-\frac{1}{61}\)
\(\Rightarrow2A:11=\frac{56}{305}\)
\(\Rightarrow2A=\frac{56}{305}.11=\frac{616}{305}\)
\(\Rightarrow A=\frac{616}{305}:2=\frac{308}{305}\)
Vậy kết quả của phép tính trên là \(\frac{308}{305}\)
11/2x(1/5-1/7+1/7+1/9+.....+1/59-1/61)
=11/2x(1/5-1/61)
=11/2x56/305
=308/305
