Let
x--------> the distance in miles that Renee need to hike to return to the place
we know that
[tex]x=4\frac{3}{4}-3\frac{1}{4}[/tex] --------> equation [tex]1[/tex]
Step [tex]1[/tex]
convert mixed number to an improper fraction
[tex]4\frac{3}{4}\ miles=\frac{4*4+3}{4} =\frac{19}{4}\ miles[/tex]
[tex]3\frac{1}{4}\ miles=\frac{3*4+1}{4} =\frac{13}{4}\ miles[/tex]
Step [tex]2[/tex]
Substitute the values in the equation [tex]1[/tex] and find the value of x
[tex]x=\frac{19}{4}-\frac{13}{4}[/tex]
[tex]x=\frac{6}{4}=\frac{3}{2}=1.5\ miles[/tex]
therefore
the answer is
[tex]1.5\ miles[/tex]
