$$5\frac{1}{5}\cdot(3\frac{1}{10}+4\frac{4}{15}+1\frac{29}{30})$$
$\frac{728}{15}\approx 48.533333333$
$$\frac{25+1}{5}\left(\frac{3\times 10+1}{10}+\frac{4\times 15+4}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{3\times 10+1}{10}+\frac{4\times 15+4}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{30+1}{10}+\frac{4\times 15+4}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{31}{10}+\frac{4\times 15+4}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{31}{10}+\frac{60+4}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{31}{10}+\frac{64}{15}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{93}{30}+\frac{128}{30}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{93+128}{30}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{221}{30}+\frac{1\times 30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{221}{30}+\frac{30+29}{30}\right)$$
$$\frac{26}{5}\left(\frac{221}{30}+\frac{59}{30}\right)$$
$$\frac{26}{5}\times \frac{221+59}{30}$$
$$\frac{26}{5}\times \frac{280}{30}$$
$$\frac{26}{5}\times \frac{28}{3}$$
$$\frac{26\times 28}{5\times 3}$$
$$\frac{728}{15}$$
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$\frac{2 ^ {3} \cdot 7 \cdot 13}{3 \cdot 5} = 48\frac{8}{15} = 48.53333333333333$
