Question

Tinh nhanh

[1- 1/12] . [ 1- 1/13] . [ 1-1/14] . [ 1-1/15] . [ 1-1/16] .[1-1/17] .[ 1-1/18]

ai dung minh tick cho nhe minh can gap

Answer 1

\(A=\left(1-\frac{1}{12}\right)\left(1-\frac{1}{13}\right)\left(1-\frac{1}{14}\right)...\left(1-\frac{1}{18}\right)\)

    \(=\frac{11}{12}.\frac{12}{13}.\frac{13}{14}...\frac{17}{18}\)

      \(=\frac{11}{18}\)     

Answer 2

   \(_{\left(1-\frac{1}{12}\right)\times\left(1-\frac{1}{13}\right)\times\left(1-\frac{1}{14}\right)\times\left(1-\frac{1}{15}\right)\times\left(1-\frac{1}{16}\right)\times\left(1-\frac{1}{17}\right)\times\left(1-\frac{1}{18}\right)}\)

= \(_{\frac{11}{12}\times\frac{12}{13}\times\frac{13}{14}\times\frac{14}{15}\times\frac{15}{16}\times\frac{16}{17}\times\frac{17}{18}}\)

=\(_{\frac{11\times12\times13\times14\times15\times16\times17}{12\times13\times14\times15\times16\times17\times18}}\)

=\(_{\frac{11}{18}}\)