$$1\frac{1}{3}\div\frac{2}{5}\times3\frac{3}{7}.$$
$\frac{80}{7}\approx 11.428571429$
$$\frac{\left(1\times 3+1\right)\times 5}{3\times 2}\times \frac{3\times 7+3}{7}$$
$$\frac{\left(3+1\right)\times 5}{3\times 2}\times \frac{3\times 7+3}{7}$$
$$\frac{4\times 5}{3\times 2}\times \frac{3\times 7+3}{7}$$
$$\frac{20}{3\times 2}\times \frac{3\times 7+3}{7}$$
$$\frac{20}{6}\times \frac{3\times 7+3}{7}$$
$$\frac{10}{3}\times \frac{3\times 7+3}{7}$$
$$\frac{10}{3}\times \frac{21+3}{7}$$
$$\frac{10}{3}\times \frac{24}{7}$$
$$\frac{10\times 24}{3\times 7}$$
$$\frac{240}{21}$$
$$\frac{80}{7}$$
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$\frac{2 ^ {4} \cdot 5}{7} = 11\frac{3}{7} = 11.428571428571429$
