If we add 1 to the numerator of a fraction, it reduces to $\large\frac{1}{2}$ . If we subtract 1 from its denominator it reduces to $\large\frac{1}{3}$ . Thus the fraction is _____

Question

$(A) \;\large\frac{1}{2} \\(B)\; \large\frac{1}{3} \\(C)\;\large\frac{1}{4} \\(D)\;\large\frac{1}{5}$