$$\quad \frac { 2 } { 3 } ( \frac { 1 } { 7 } \div \frac { 3 } { 8 } - \frac { 5 } { 21 } )$$
$\frac{2}{21}\approx 0.095238095$
$$\frac{2}{3}\left(\frac{1}{7}\times \frac{8}{3}-\frac{5}{21}\right)$$
$$\frac{2}{3}\left(\frac{1\times 8}{7\times 3}-\frac{5}{21}\right)$$
$$\frac{2}{3}\left(\frac{8}{21}-\frac{5}{21}\right)$$
$$\frac{2}{3}\times \frac{8-5}{21}$$
$$\frac{2}{3}\times \frac{3}{21}$$
$$\frac{2}{3}\times \frac{1}{7}$$
$$\frac{2\times 1}{3\times 7}$$
$$\frac{2}{21}$$
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$\frac{2}{3 \cdot 7} = 0.09523809523809523$
