$$(5\frac{8}{15}+3\frac{1}{3})+(7\frac{1}{2}+\frac{1}{4})$$
$\frac{997}{60}\approx 16.616666667$
$$\frac{75+8}{15}+\frac{3\times 3+1}{3}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{83}{15}+\frac{3\times 3+1}{3}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{83}{15}+\frac{9+1}{3}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{83}{15}+\frac{10}{3}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{83}{15}+\frac{50}{15}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{83+50}{15}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{133}{15}+\frac{7\times 2+1}{2}+\frac{1}{4}$$
$$\frac{133}{15}+\frac{14+1}{2}+\frac{1}{4}$$
$$\frac{133}{15}+\frac{15}{2}+\frac{1}{4}$$
$$\frac{266}{30}+\frac{225}{30}+\frac{1}{4}$$
$$\frac{266+225}{30}+\frac{1}{4}$$
$$\frac{491}{30}+\frac{1}{4}$$
$$\frac{982}{60}+\frac{15}{60}$$
$$\frac{982+15}{60}$$
$$\frac{997}{60}$$
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$\frac{997}{2 ^ {2} \cdot 3 \cdot 5} = 16\frac{37}{60} = 16.616666666666667$
