Question

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?

Answer 1

Alicia and Felix hiked `5/6` of a mile that afternoon.

Explanation:

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

`x=3/6+1/3`

The common denominator for the two fractions is `6`, which would mean writing the second fraction as `2/6`.

`x=3/6+2/6`

`x=(3+2)/6`

`x=5/6`