$$\frac { 4 } { 5 } + \frac { 6 } { 7 } + \frac { 1 } { 2 }$$
$\frac{151}{70}\approx 2.157142857$
$$\frac{28}{35}+\frac{30}{35}+\frac{1}{2}$$
$$\frac{28+30}{35}+\frac{1}{2}$$
$$\frac{58}{35}+\frac{1}{2}$$
$$\frac{116}{70}+\frac{35}{70}$$
$$\frac{116+35}{70}$$
$$\frac{151}{70}$$
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$\frac{151}{2 \cdot 5 \cdot 7} = 2\frac{11}{70} = 2.157142857142857$