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

To solve this in the most elegant way, we use the 'Substitution Strategy' which was heavily emphasized in the 2018 exam right before this year [22], [37].\n\n1. **Pick a simple Proper Fraction**: The definition says Numerator 0.5, the fraction has increased.\n\n4. **Verify (Optional)**: Just to be sure, let's try 2/3 (0.66). Add 1 to both -> 3/4 (0.75). It increased again. \n\nBy using this 'Smart Number Substitution' [34], we can clearly see the value always increases. The logic is that adding numbers pulls the fraction towards 1. Since a proper fraction starts below 1, it must go up.