$$9 \frac{ 1 }{ 3 } \div \frac{ 3 }{ 5 } \times \frac{ 7 }{ 9 } \times \frac{ 4 }{ 5 }$$
$\frac{784}{81}\approx 9.679012346$
$$\frac{\left(9\times 3+1\right)\times 5}{3\times 3}\times \frac{7}{9}\times \frac{4}{5}$$
$$\frac{\left(27+1\right)\times 5}{3\times 3}\times \frac{7}{9}\times \frac{4}{5}$$
$$\frac{28\times 5}{3\times 3}\times \frac{7}{9}\times \frac{4}{5}$$
$$\frac{140}{3\times 3}\times \frac{7}{9}\times \frac{4}{5}$$
$$\frac{140}{9}\times \frac{7}{9}\times \frac{4}{5}$$
$$\frac{140\times 7}{9\times 9}\times \frac{4}{5}$$
$$\frac{980}{81}\times \frac{4}{5}$$
$$\frac{980\times 4}{81\times 5}$$
$$\frac{3920}{405}$$
$$\frac{784}{81}$$
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$\frac{2 ^ {4} \cdot 7 ^ {2}}{3 ^ {4}} = 9\frac{55}{81} = 9.679012345679013$
