134. Find such proper fractions, each of which, when its numerator and denominator are decreased by 1, becomes $\frac{1}{2}$.
Let the fraction $\frac{a}{b}$ be a proper fraction. According to the problem, $\frac{a-1}{b-1}=\frac{1}{2}$ or $b=2a-1$. The required fractions will be: $\frac{2}{3}, \frac{3}{5}, \frac{4}{7}, \frac{5}{9} \ldots$ and so on.