Question

[phạm mai chi]

TÍNH

\(10101.(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3.7.11.13.37})\)

Answer 1

[Nguyễn Đỗ Anh Quân]

\(10101\cdot\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3\cdot7\cdot11\cdot13\cdot37}\right)\)=\(10101\cdot\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{111111}\right)\)

= \(10101\cdot\left(\dfrac{5}{111111}-\dfrac{4}{111111}+\dfrac{5}{222222}\right)\)

= \(10101\cdot\left(\dfrac{1}{111111}+\dfrac{5}{222222}\right)\)

= \(10101\cdot\left(\dfrac{2}{222222}+\dfrac{5}{222222}\right)\)

= \(10101\cdot\dfrac{7}{222222}\)

= \(\dfrac{10101\cdot7}{222222}=\dfrac{10101\cdot7}{10101\cdot22}=\dfrac{7}{22}\)

Answer 2

[Nguyễn Thiện Nhân]

10101.(\(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3.7.11.13.37}\))

= 10101.(\(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{111111}\))

= 10101.(\(\dfrac{1}{111111}+\dfrac{5}{222222}\))

= 10101. \(\dfrac{7}{222222}\)

= \(\dfrac{10101.7}{222222}\)= \(\dfrac{70707}{22222}\)=\(\dfrac{7}{22}\)

Chúc pạn hok tốt!!!!!!!