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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.

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#

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Answer 2

Hazel Anglin

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

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.