\(I=10101\cdot\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3\cdot7\cdot11\cdot13\cdot37}\right)\)
\(=10101\cdot\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{111111}\right)\)
\(=10101\cdot\dfrac{1}{31746}\)
\(=7\cdot\dfrac{1}{22}\)
\(=\dfrac{7}{22}\)
\(I=10101.\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3.7.11.13.37}\right)\)
\(I=10101.\left(\dfrac{5}{111111}+\dfrac{1}{2}.\dfrac{5}{111111}-\dfrac{5}{111111}.\dfrac{4}{5}\right)\)
\(I=10101.\dfrac{5}{111111}.\left(1+\dfrac{1}{2}-\dfrac{4}{5}\right)\)
\(I=\dfrac{5}{11}.\dfrac{7}{10}=\dfrac{7}{22}\)
Chúc bạn học tốt!!!
\(I=10101\left(\dfrac{5}{111111}+\dfrac{5}{222222}+\dfrac{4}{3.7.11.13.37}\right)\)
\(I=10101\left(\dfrac{10}{222222}+\dfrac{5}{222222}+\dfrac{8}{222222}\right)\)
\(I=10101.\dfrac{1}{10582}=\dfrac{21}{22}\)
