$$2\frac{3}{7}\div4\frac{1}{4}=$$
$\frac{4}{7}\approx 0.571428571$
$$\frac{\left(2\times 7+3\right)\times 4}{7\left(4\times 4+1\right)}$$
$$\frac{\left(14+3\right)\times 4}{7\left(4\times 4+1\right)}$$
$$\frac{17\times 4}{7\left(4\times 4+1\right)}$$
$$\frac{68}{7\left(4\times 4+1\right)}$$
$$\frac{68}{7\left(16+1\right)}$$
$$\frac{68}{7\times 17}$$
$$\frac{68}{119}$$
$$\frac{4}{7}$$
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$\frac{2 ^ {2}}{7} = 0.5714285714285714$
