$$4\frac{1}{9}+5\frac{1}{9}+6\frac{1}{9}$$
$\frac{46}{3}\approx 15.333333333$
$$\frac{36+1}{9}+\frac{5\times 9+1}{9}+\frac{6\times 9+1}{9}$$
$$\frac{37}{9}+\frac{5\times 9+1}{9}+\frac{6\times 9+1}{9}$$
$$\frac{37}{9}+\frac{45+1}{9}+\frac{6\times 9+1}{9}$$
$$\frac{37}{9}+\frac{46}{9}+\frac{6\times 9+1}{9}$$
$$\frac{37+46}{9}+\frac{6\times 9+1}{9}$$
$$\frac{83}{9}+\frac{6\times 9+1}{9}$$
$$\frac{83}{9}+\frac{54+1}{9}$$
$$\frac{83}{9}+\frac{55}{9}$$
$$\frac{83+55}{9}$$
$$\frac{138}{9}$$
$$\frac{46}{3}$$
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$\frac{2 \cdot 23}{3} = 15\frac{1}{3} = 15.333333333333334$
