Answer
0.44, $\frac{9}{20}$, 0.4506, 0.451
Work Step by Step
0.44, 0.451, $\frac{9}{20}$, 0.4506
To compare we need to have all in same form.
0.44 = $\frac{44}{100}$ = $\frac{4400}{10000}$
0.451 =$\frac{451}{1000}$ = $\frac{4510}{10000}$
$\frac{9}{20}$ = $\frac{450}{1000}$ = $\frac{4500}{10000}$
0.4506 = $\frac{4506}{10000}$
$\frac{4400}{10000} \lt \frac{4500}{10000} \lt \frac{4506}{10000}\lt\frac{4510}{10000}$
i.e. 0.44, $\frac{9}{20}$, 0.4506, 0.451 (least to greatest order)