$$6\frac{7}{9}-\frac{21}{7}$$
$\frac{34}{9}\approx 3.777777778$
$$\frac{54+7}{9}-\frac{21}{7}$$
$$\frac{61}{9}-\frac{21}{7}$$
$$\frac{61}{9}-3$$
$$\frac{61}{9}-\frac{27}{9}$$
$$\frac{61-27}{9}$$
$$\frac{34}{9}$$
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$\frac{2 \cdot 17}{3 ^ {2}} = 3\frac{7}{9} = 3.7777777777777777$