Question

[Hung nigga]

Tính:

10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)

Answer 1

[Ngô Bá Hùng]

10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)

= 10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)

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

= \(\frac{7}{22}\)

Answer 2

[Zore]

Lời giải:

Ta có:

\(A=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)

\(=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)

\(=10101.\left(\frac{10}{222222}+\frac{5}{222222}-\frac{8}{222222}\right)\)

\(=10101.\left(\frac{10+5-8}{222222}\right)\)

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

\(=\frac{7.10101}{22.10101}=\frac{7}{22}\)

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