Answer
$\frac{3}{4}$
Work Step by Step
Do the addition in the numerator first.
Find the least common denominator (LCD) of the two fractions in the numerator, and then multiply the numerators of those fractions by the factor that is missing between their denominators and the LCD:
$\dfrac{\frac{1(2)}{6} + \frac{1}{6}}{\frac{2}{3}}$
Multiply to simplify:
$\dfrac{\frac{2}{6} + \frac{1}{6}}{\frac{2}{3}}$
Perform the addition in the numerator:
$\dfrac{\frac{3}{6}}{\frac{2}{3}}$
Rewrite this fraction as a division problem:
$\frac{3}{6} \div \frac{2}{3}$
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction:
$\frac{3}{6} \times \frac{3}{2}$
Multiply:
$\frac{9}{12}$
Divide both numerator and denominator by their greatest common factor, $3$:
$\frac{3}{4}$