Answer
$\dfrac{7}{10}$
Work Step by Step
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $10$.
$\dfrac{1}{2} + \dfrac{1}{5}
\\=\dfrac{1\color{blue}{(5)}}{2\color{blue}{(5)}}+\dfrac{1\color{blue}{(2)}}{5\color{blue}{(2)}}
\\=\dfrac{5}{10}+\dfrac{2}{10}$
Now that the fractions are similar, add the numerators and copy the denominator to obtain:
$=\dfrac{5+2}{10}
\\=\dfrac{7}{10}$
