$$3 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + \frac { 4 } { 15 }$$
$\frac{143}{30}\approx 4.766666667$
$$\frac{15+2}{5}+\frac{1\times 10+1}{10}+\frac{4}{15}$$
$$\frac{17}{5}+\frac{1\times 10+1}{10}+\frac{4}{15}$$
$$\frac{17}{5}+\frac{10+1}{10}+\frac{4}{15}$$
$$\frac{17}{5}+\frac{11}{10}+\frac{4}{15}$$
$$\frac{34}{10}+\frac{11}{10}+\frac{4}{15}$$
$$\frac{34+11}{10}+\frac{4}{15}$$
$$\frac{45}{10}+\frac{4}{15}$$
$$\frac{9}{2}+\frac{4}{15}$$
$$\frac{135}{30}+\frac{8}{30}$$
$$\frac{135+8}{30}$$
$$\frac{143}{30}$$
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$\frac{11 \cdot 13}{2 \cdot 3 \cdot 5} = 4\frac{23}{30} = 4.766666666666667$
