$$\frac{5}{6}\times2+\frac{3}{7}-\frac{-8}{7}+\frac{5}{4}$$
$\frac{377}{84}\approx 4.488095238$
$$\frac{5\times 2}{6}+\frac{3}{7}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{10}{6}+\frac{3}{7}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{5}{3}+\frac{3}{7}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{35}{21}+\frac{9}{21}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{35+9}{21}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{44}{21}-\frac{-8}{7}+\frac{5}{4}$$
$$\frac{44}{21}-\left(-\frac{8}{7}\right)+\frac{5}{4}$$
$$\frac{44}{21}+\frac{8}{7}+\frac{5}{4}$$
$$\frac{44}{21}+\frac{24}{21}+\frac{5}{4}$$
$$\frac{44+24}{21}+\frac{5}{4}$$
$$\frac{68}{21}+\frac{5}{4}$$
$$\frac{272}{84}+\frac{105}{84}$$
$$\frac{272+105}{84}$$
$$\frac{377}{84}$$
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$\frac{13 \cdot 29}{2 ^ {2} \cdot 3 \cdot 7} = 4\frac{41}{84} = 4.488095238095238$