Question

Solve the equation below :
3/2 x 4/3 x 5/4..... x 2012/2011 = ?

Answer 1

1006

Explanation:

here, if we list out some terms, we see that the numerator of the first term is cancelled out by the denominator of the second and so on.

just to see a bit:

`(3)/(2) * (4)/(3) * (5)/(4) * (6)/(5) ...`

so, they all cancel our apart from the denominator of the first fraction and the numerator of the last, so we have 2012/2=1006 as the answer.