# That afternoon, Alicia and Felix hiked 3/6 of a mile and stopped for lunch. Then they hiked 1/3 of a mile more up to the mountaintop. How far did they hike that afternoon?

Jan 1, 2017

Alicia and Felix hiked $\frac{5}{6}$ of a mile that afternoon.

#### Explanation:

The total distance $\left(x\right)$ hiked by Alicia and Felix, is the sum of the two separate distances they hiked before and after lunch. Hence:

$x = \frac{3}{6} + \frac{1}{3}$

The common denominator for the two fractions is $6$, which would mean writing the second fraction as $\frac{2}{6}$.

$x = \frac{3}{6} + \frac{2}{6}$

$x = \frac{3 + 2}{6}$

$x = \frac{5}{6}$