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?

1 Answer
Madi
May 6, 2016

#17/4#

Explanation:

#1 3/4 + 2 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.

#=7/4 + 5/2#

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

#=7/4 + 5/2 * 2/2#

#=7/4+10/4#

#=17/4#

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