Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(23 Ã— 24)
so that the result is equal to 1?
Choose the correct choice.
A) 7/24
B) 11/24
C) 13/24
D) 17/24
E) 19/24
The given expression   = 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(23 Ã— 24)   = (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/23 - 1/24)   = 1/2 - 1/24 = 11/24   Thus, the fraction we should add = 1 - 11/24 = 13/24   The answer is 13/24.
<result>C</result>
Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(23 Ã— 24)
so that the result is equal to 1?