$$4\frac{1}{6}+5\frac{1}{6}+6\frac{1}{6}$$
$\frac{31}{2}=15.5$
$$\frac{24+1}{6}+\frac{5\times 6+1}{6}+\frac{6\times 6+1}{6}$$
$$\frac{25}{6}+\frac{5\times 6+1}{6}+\frac{6\times 6+1}{6}$$
$$\frac{25}{6}+\frac{30+1}{6}+\frac{6\times 6+1}{6}$$
$$\frac{25}{6}+\frac{31}{6}+\frac{6\times 6+1}{6}$$
$$\frac{25+31}{6}+\frac{6\times 6+1}{6}$$
$$\frac{56}{6}+\frac{6\times 6+1}{6}$$
$$\frac{28}{3}+\frac{6\times 6+1}{6}$$
$$\frac{28}{3}+\frac{36+1}{6}$$
$$\frac{28}{3}+\frac{37}{6}$$
$$\frac{56}{6}+\frac{37}{6}$$
$$\frac{56+37}{6}$$
$$\frac{93}{6}$$
$$\frac{31}{2}$$
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$\frac{31}{2} = 15\frac{1}{2} = 15.5$