$$\frac { 12 } { 5 } + \frac { 2 } { 7 } = \frac { 2 } { 7 } + \frac { - 12 } { 7 }$$
$\text{false}$
$$\frac{84}{35}+\frac{10}{35}=\frac{2}{7}+\frac{-12}{7}$$
$$\frac{84+10}{35}=\frac{2}{7}+\frac{-12}{7}$$
$$\frac{94}{35}=\frac{2}{7}+\frac{-12}{7}$$
$$\frac{94}{35}=\frac{2}{7}-\frac{12}{7}$$
$$\frac{94}{35}=\frac{2-12}{7}$$
$$\frac{94}{35}=-\frac{10}{7}$$
$$\frac{94}{35}=-\frac{50}{35}$$
$$\text{false}$$
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