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Question

The number 2.525252.... can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is:
  1. 7
  2. 141
  3. 29
  4. None of these
  5. 349

A
7
B
141
C
29
D
349
E
None of these
Solution
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Let N=2.52525......,100N=25225225..... Subtracting the first equality the second, we obtain 99N=250.
N=25099. Since this fraction is already in lowest term,
We have 250+99=349.

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