$$37\frac{1}{7}\times27\frac{5}{7}$$
$\frac{50440}{49}\approx 1029.387755102$
$$\frac{259+1}{7}\times \frac{27\times 7+5}{7}$$
$$\frac{260}{7}\times \frac{27\times 7+5}{7}$$
$$\frac{260}{7}\times \frac{189+5}{7}$$
$$\frac{260}{7}\times \frac{194}{7}$$
$$\frac{260\times 194}{7\times 7}$$
$$\frac{50440}{49}$$
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$\frac{2 ^ {3} \cdot 5 \cdot 13 \cdot 97}{7 ^ {2}} = 1029\frac{19}{49} = 1029.3877551020407$
