Question

The number $\mathrm{2.525252....}$ can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is:

• A. $7$
• B. $29$
• C. $141$
• D. $349$
• E. None of these

Answer 1

Answer: (D)

$349$

Let $N=\mathrm{2.52525......},100N=\mathrm{25225225.....}$ Subtracting the first equality the second, we obtain $99N=250.$
$\therefore$ $N=\frac{250}{99}$. Since this fraction is already in lowest term,
We have $250+99=349.$