If the numerator and denominator of a proper fraction are increased by the same quantity, then the resulting fraction is always greater than the original fraction.
Let us understand and verify it with the help of couple of examples:
(i) Let 12 be an original fraction.
12=0.5If the numerator and denominator are increased by 5, the fraction becomes:
1+52+5=57=0.71
∴ 12<57
(ii) Let 79 be an original fraction.
79≈0.78
If the numerator and denominator are increased by 1, the fraction becomes:
7+19+1=810=0.8
Hence, if the numerator and denominator of a proper fraction are increased by the same quantity, then the resulting fraction is always greater than the original fraction.
Therefore, option A is correct.