Bạn tham khảo bài làm của mình nhé !!
\(A=\frac{2}{11.15}+\frac{2}{15.19}+\frac{2}{19.23}...+\frac{2}{51.55}\)
\(\Leftrightarrow2A=\frac{4}{11.15}+\frac{4}{15.19}+\frac{4}{19.23}+...+\frac{4}{51.55}\)
\(\Leftrightarrow2A=\frac{1}{11}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+...+\frac{1}{51}-\frac{1}{55}\)
\(\Leftrightarrow2A=\frac{1}{11}-\frac{1}{55}\)
\(\Leftrightarrow2A=\frac{4}{55}\)
\(\Leftrightarrow A=\frac{4}{110}\)