$$31 \div \frac { 2 } { 3 } 51 \div \frac { 17 } { 3 }$$
$\frac{837}{2}=418.5$
$$\frac{31\times \frac{3}{2}\times 51}{\frac{17}{3}}$$
$$\frac{\frac{31\times 3}{2}\times 51}{\frac{17}{3}}$$
$$\frac{\frac{93}{2}\times 51}{\frac{17}{3}}$$
$$\frac{\frac{93\times 51}{2}}{\frac{17}{3}}$$
$$\frac{\frac{4743}{2}}{\frac{17}{3}}$$
$$\frac{4743}{2}\times \frac{3}{17}$$
$$\frac{4743\times 3}{2\times 17}$$
$$\frac{14229}{34}$$
$$\frac{837}{2}$$
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$\frac{3 ^ {3} \cdot 31}{2} = 418\frac{1}{2} = 418.5$