## Prealgebra (7th Edition)

$\frac{4}{9}$
To order, convert all numbers to decimals. $\frac{9}{20}=\frac{9\times5}{20\times5}=\frac{45}{100}=0.45$ $\ \ \ \,0.4\overline4$ $9\big)\overline{4.0\underset\downarrow0}$ $\ \ \ \ \,\underline{36}$ $\ \ \ \ \ \ \ 40$ $\ \ \ \ \ \ \,\underline{36}$ $\ \ \ \ \ \ \ \ \ 4$ $0.4\overline4\lt0.45\lt0.456$ so $\frac{4}{9}$