Question

Tính Nhanh:         ( 1 - 1/15) × ( 1 - 1/16) × ( 1 - 1/17) ×  ..............................× ( 1 - 1/100)

Answer 1

    ( 1- \(\dfrac{1}{15}\))x ( 1 - \(\dfrac{1}{16}\))x(1- \(\dfrac{1}{17}\)) x.....x(1- \(\dfrac{1}{100}\))

=  \(\dfrac{14}{15}\) x \(\dfrac{15}{16}\)x \(\dfrac{16}{17}\)x......x\(\dfrac{99}{100}\)

= \(\dfrac{15\times16\times17\times.....\times99}{15\times16\times17\times.....\times99}\) x \(\dfrac{14}{100}\)

=  1 x \(\dfrac{14}{100}\)

= \(\dfrac{7}{50}\)