$$\frac{19}{9}\div\frac{13}{6}\times\frac{24}{76}$$
$\frac{4}{13}\approx 0.307692308$
$$\frac{19}{9}\times \frac{6}{13}\times \frac{24}{76}$$
$$\frac{19\times 6}{9\times 13}\times \frac{24}{76}$$
$$\frac{114}{117}\times \frac{24}{76}$$
$$\frac{38}{39}\times \frac{24}{76}$$
$$\frac{38}{39}\times \frac{6}{19}$$
$$\frac{38\times 6}{39\times 19}$$
$$\frac{228}{741}$$
$$\frac{4}{13}$$
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$\frac{2 ^ {2}}{13} = 0.3076923076923077$