Answer
False; $\frac{7}{10}$
Work Step by Step
This is wrong because they added the denominators instead of changing the fractions to have common denominators and then adding the numerators.
$\frac{1}{2}$+$\frac{1}{5}$
$\frac{1\times5}{2\times5}$+$\frac{1\times2}{5\times2}$
$\frac{5}{10}$+$\frac{2}{10}$=$\frac{7}{10}$