mk đang cần gấp hẫy giúp mk trả lời đi
=5/1-5/2+5/3+5/4
=60-30+20+15/12
=65/12
Ta có \(10101\cdot\left(\frac{5}{10101}-\frac{5}{20202}+\frac{5}{30303}+\frac{5}{40404}\right)\)
\(=10101\cdot\frac{5}{10101}-10101\cdot\frac{5}{20202}+10101\cdot\frac{5}{30303}+10101\cdot\frac{5}{40404}\)
\(=5-\frac{5}{2}+\frac{5}{3}+\frac{5}{4}\)
\(=5\cdot\left(1-\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\)
\(=5\cdot\frac{13}{12}\)
\(=\frac{65}{12}\)