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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?

1 Answer

Jan 1, 2017

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

Explanation:

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

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

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

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

$x = \frac{3 + 2}{6}$ $x=(3+2)/6$

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

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