Last month you went on three hikes. One hike was 2 ¾ miles long, one was 1 ½ miles long, and the other was 3 ⅜ miles long. In decimals how many total Miles did you hike last month

Verified Answer :

I'm not really a big fraction type person, but I'm sure it's 7.625

Answer: He hike \(7\dfrac{5}{8}\ miles\) last month.

Step-by-step explanation:

Since we have given that

Length of first hike = \(2\dfrac{3}{4}\ miles=\dfrac{11}{4}\ miles\)

Length of second hike = \(1\dfrac{1}{2}\ miles=\dfrac{3}{2}\ miles\)

Length of third hike = \(3\dfrac{3}{8}\ miles=\dfrac{27}{8}\ miles\)

Total miles he hike last month is given by

\(\dfrac{11}{4}+\dfrac{3}{2}+\dfrac{27}{8}\\\\=\dfrac{22+12+27}{8}\\\\=\dfrac{61}{8}\\\\=7\dfrac{5}{8}\ miles\)

Hence, he hike \(7\dfrac{5}{8}\ miles\) last month.