$$4\frac{2}{5}\times1\frac{3}{8}-1\frac{1}{4}\div\frac{11}{16}$$
$\frac{931}{220}\approx 4.231818182$
$$\frac{20+2}{5}\times \frac{1\times 8+3}{8}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{22}{5}\times \frac{1\times 8+3}{8}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{22}{5}\times \frac{8+3}{8}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{22}{5}\times \frac{11}{8}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{22\times 11}{5\times 8}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{242}{40}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{121}{20}-\frac{\frac{1\times 4+1}{4}}{\frac{11}{16}}$$
$$\frac{121}{20}-\frac{\left(1\times 4+1\right)\times 16}{4\times 11}$$
$$\frac{121}{20}-\frac{4\left(1+4\right)}{11}$$
$$\frac{121}{20}-\frac{4\times 5}{11}$$
$$\frac{121}{20}-\frac{20}{11}$$
$$\frac{1331}{220}-\frac{400}{220}$$
$$\frac{1331-400}{220}$$
$$\frac{931}{220}$$
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$\frac{7 ^ {2} \cdot 19}{2 ^ {2} \cdot 5 \cdot 11} = 4\frac{51}{220} = 4.2318181818181815$
