If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

Actually, there is a small correction needed. For a proper fraction, the resulting fraction is always greater than the original fraction, which would make Option B the correct answer. However, to explain why the relationship changes in a specific direction, let us look at the logic. A proper fraction is one where the numerator is less than the denominator, such as 1 divided by 2. If we add a positive quantity, for example 1, to both the numerator and denominator, the fraction becomes 2 divided by 3. Comparing the two, 2 divided by 3 is approximately 0.66, which is greater than 1 divided by 2, which is 0.5. Mathematically, when you increase both parts of a proper fraction by the same positive amount, the ratio moves closer to 1. Since a proper fraction starts at a value less than 1, increasing it towards 1 means the value is increasing. If the original question or key insists that A is correct, it would imply the fraction was an improper fraction where the numerator is greater than the denominator. For a proper fraction, the resulting fraction is always greater than the original.