Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(31 Ã— 32)
so that the result is equal to 1?  Choose the correct choice from the following answers.
A) 11/32
B) 13/32
C) 15/32
D) 17/32
E) 19/32
The given expression   = 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(31 Ã— 32)   = (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/31 - 1/32)   = 1/2 - 1/32 = 15/32   Thus, the fraction we should add = 1 - 15/32 = 17/32   The answer is 17/32.
<result>D</result>
Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(31 Ã— 32)
so that the result is equal to 1?