If to the numerator and denominator of the fraction 1/3 you add its denominator, 3, the fraction will double.
Find a fraction which will:
A. Triple when its denominator is added to its numerator and its denominator.
B. Quadruple.
Explanations
Any fraction with 1 for numerator and any odd number (2n - 1) for denominator increases to n times its value when its denominator is added to tis numerator and to its denominator.
[After Boris A. Kordemsky. The Moscow Puzzles: 359 mathematical recreations. 1972]