$$\frac { 5 \frac { 1 } { 7 } - 3 \frac { 3 } { 14 } } { 4 \frac { 1 } { 2 } - 1 \frac { 4 } { 7 } }$$
$\frac{27}{41}\approx 0.658536585$
$$\frac{\frac{35+1}{7}-\frac{3\times 14+3}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{36}{7}-\frac{3\times 14+3}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{36}{7}-\frac{42+3}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{36}{7}-\frac{45}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{72}{14}-\frac{45}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{72-45}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{27}{14}}{\frac{4\times 2+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{27}{14}}{\frac{8+1}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{27}{14}}{\frac{9}{2}-\frac{1\times 7+4}{7}}$$
$$\frac{\frac{27}{14}}{\frac{9}{2}-\frac{7+4}{7}}$$
$$\frac{\frac{27}{14}}{\frac{9}{2}-\frac{11}{7}}$$
$$\frac{\frac{27}{14}}{\frac{63}{14}-\frac{22}{14}}$$
$$\frac{\frac{27}{14}}{\frac{63-22}{14}}$$
$$\frac{\frac{27}{14}}{\frac{41}{14}}$$
$$\frac{27}{14}\times \frac{14}{41}$$
$$\frac{27\times 14}{14\times 41}$$
$$\frac{27}{41}$$
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$\frac{3 ^ {3}}{41} = 0.6585365853658537$
