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