$$\frac{ 2 }{ 3 } \div \frac{ 7 }{ 9 }$$
$\frac{6}{7}\approx 0.857142857$
$$\frac{2}{3}\times \frac{9}{7}$$
$$\frac{2\times 9}{3\times 7}$$
$$\frac{18}{21}$$
$$\frac{6}{7}$$
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$\frac{2 \cdot 3}{7} = 0.8571428571428571$