Đáp án:
`20/11`
Giải thích các bước giải:
`1 1/3 × 1 1/8 × 1 1/15 × 1 1/24 × ... × 1 1/99`
`= 4/3 × 9/8 × 16/15 × 25/24 × ... × 100/99`
$=\dfrac{4 × 9 × 16 × 25 × ..100}{3 × 8 × 15 × 24 × ... × 99}$
$=\dfrac{2 × 2 × 3 × 3 × 4 × 4 × ... × 10 × 10}{1 × 3 × 2 × 4 × 3 × 5 × ... × 9 × 11}$
$=\dfrac{(2 × 3 × 4 × ... × 10) × (2 × 3 × 4 × ... × 10)}{(1 × 2 × 3 × ... × 9) × (3 × 4 × 5 × ... × 11)}$
$=\dfrac{2 × 10}{1 × 11} = \dfrac{20}{11}$