# Carlos hiked 1 3/4 miles a nature trail to a fork in the trail. He then hiked 2 1/2 miles along a path that led to a waterfall. When Carlos reached the waterfall, how far had he hiked altogether?

May 6, 2016

$\frac{17}{4}$

#### Explanation:

$1 \frac{3}{4} + 2 \frac{1}{2}$

Turn the mixed fractions into improper fractions by multiplying the number in front with the denominator and adding the numerator over the original denominator.

$= \frac{7}{4} + \frac{5}{2}$

Make the denominator equal by multiplying the second fraction with $2$ in the numerator and denominator.

$= \frac{7}{4} + \frac{5}{2} \cdot \frac{2}{2}$

$= \frac{7}{4} + \frac{10}{4}$

$= \frac{17}{4}$