$$\frac{2}{9}\times\frac{314}{100}\times\frac{165}{10}\times\frac{165}{10}$$
$\frac{18997}{100}=189.97$
$$\frac{2}{9}\times \frac{314}{100}\times \left(\frac{165}{10}\right)^{2}$$
$$\frac{2}{9}\times \frac{157}{50}\times \left(\frac{165}{10}\right)^{2}$$
$$\frac{2\times 157}{9\times 50}\times \left(\frac{165}{10}\right)^{2}$$
$$\frac{314}{450}\times \left(\frac{165}{10}\right)^{2}$$
$$\frac{157}{225}\times \left(\frac{165}{10}\right)^{2}$$
$$\frac{157}{225}\times \left(\frac{33}{2}\right)^{2}$$
$$\frac{157}{225}\times \frac{1089}{4}$$
$$\frac{157\times 1089}{225\times 4}$$
$$\frac{170973}{900}$$
$$\frac{18997}{100}$$
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$\frac{11 ^ {2} \cdot 157}{2 ^ {2} \cdot 5 ^ {2}} = 189\frac{97}{100} = 189.97$