Respuesta :
Answer: He hike [tex]7\dfrac{5}{8}\ miles[/tex] last month.
Step-by-step explanation:
Since we have given that
Length of first hike = [tex]2\dfrac{3}{4}\ miles=\dfrac{11}{4}\ miles[/tex]
Length of second hike = [tex]1\dfrac{1}{2}\ miles=\dfrac{3}{2}\ miles[/tex]
Length of third hike = [tex]3\dfrac{3}{8}\ miles=\dfrac{27}{8}\ miles[/tex]
Total miles he hike last month is given by
[tex]\dfrac{11}{4}+\dfrac{3}{2}+\dfrac{27}{8}\\\\=\dfrac{22+12+27}{8}\\\\=\dfrac{61}{8}\\\\=7\dfrac{5}{8}\ miles[/tex]
Hence, he hike [tex]7\dfrac{5}{8}\ miles[/tex] last month.