Statement I : $\mathrm{0.454545.......}$it is a rational number  

Statement II : $-\frac{5}{7}<\frac{-3}{4}$

(I): $\mathrm{0.454545.......}$ it is non-terminating repeating decimal. Every non- terminating repeating decimal is a rational number .

(II): $-\frac{5}{7}\begin{array}{}\end{array}\frac{-3}{4}\Rightarrow -5\times 4\begin{array}{}\end{array}-3\times 7$

$-20>-21$

$\therefore \frac{-5}{7}>\frac{-3}{4}$

 (I) is true (II) is false.