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?

1 Answer
Jan 1, 2017

Answer:

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#