Answer
$\frac{7}{10}$
Work Step by Step
$\frac{1}{2} + \frac{1}{5}$
the least common denominator for the denominators 2 and 5 is 10.
To obtain denominators of 10, multiply the numerator and denominator of the first fraction by 5 and the second fraction by 2.
$\frac{1}{2} + \frac{1}{5}$ = $\frac{1*5}{2*5} + \frac{1*2}{5*2}$
$\frac{5}{10} + \frac{2}{10}$
Add the numerators and put this sum over the least common denominator.
$\frac{5+2}{10}$ = $\frac{7}{10}$