$$\frac{4}{7}\div\frac{6}{7}\times\frac{8}{9}+\frac{1}{4}$$
$\frac{91}{108}\approx 0.842592593$
$$\frac{4}{7}\times \frac{7}{6}\times \frac{8}{9}+\frac{1}{4}$$
$$\frac{4\times 7}{7\times 6}\times \frac{8}{9}+\frac{1}{4}$$
$$\frac{4}{6}\times \frac{8}{9}+\frac{1}{4}$$
$$\frac{2}{3}\times \frac{8}{9}+\frac{1}{4}$$
$$\frac{2\times 8}{3\times 9}+\frac{1}{4}$$
$$\frac{16}{27}+\frac{1}{4}$$
$$\frac{64}{108}+\frac{27}{108}$$
$$\frac{64+27}{108}$$
$$\frac{91}{108}$$
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$\frac{7 \cdot 13}{2 ^ {2} \cdot 3 ^ {3}} = 0.8425925925925926$
