$$6 \frac { 7 } { 9 } - \frac { 21 } { 57 }$$
$\frac{1096}{171}\approx 6.409356725$
$$\frac{54+7}{9}-\frac{21}{57}$$
$$\frac{61}{9}-\frac{21}{57}$$
$$\frac{61}{9}-\frac{7}{19}$$
$$\frac{1159}{171}-\frac{63}{171}$$
$$\frac{1159-63}{171}$$
$$\frac{1096}{171}$$
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$\frac{2 ^ {3} \cdot 137}{3 ^ {2} \cdot 19} = 6\frac{70}{171} = 6.409356725146199$