Problem: The number 2.5252525… can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is:
Answer Choices:
A. 7
B. 29
C. 141
D. 349
E. none of these
Solution:
Let N=2.52525…100 N=252.52525… Subtracting the first equality from the second, we obtain 99 N=250∴ N=99250​. Since this fraction is already in lowest terms, we have 250+99=349