SOLUTION: Express the following product as reduced fraction. (1-1/2)(1-1/3)(1-1/4)......(1-1/2008).

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Question 1121200: Express the following product as reduced fraction.
(1-1/2)(1-1/3)(1-1/4)......(1-1/2008).
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
%281-1%2F2%29%281-1%2F3%29%281-1%2F4%29......%281-1%2F2008%29 = %281%2F2%29%2A%282%2F3%29%2A%283%2F4%29%2Aellipsis%2A%282007%2F2008%29 = 


    Notice that the denominator of the first fraction is the numerator of the second fraction.

    Next, the denominator of the second fraction is the numerator of the third fraction.

    This pattern continues: the denominator of the third fraction is the numerator of the fourth fraction.

    And so on . . . 


cancel all common factors in numerators and denominators to get final answer = 1%2F2008.

Solved.