Answer:
Judy hiked: [tex]1\frac{37}{68} miles[/tex]
Step-by-step explanation:
The first trail = [tex]5\frac{1}{4}= \frac{21}{4}[/tex] miles
The second trail = 1 1/2 times longer than the first
[tex]1\frac{1}{2} * 5\frac{1}{4}\\\\ = \frac{3}{2}*\frac{21}{4} =\frac{63}{8}[/tex] miles
Total trails then becomes:
[tex]\frac{21}{4} +\frac{63}{8}= \frac{(2*21) + 63}{8} \\\\= \frac{42+63}{68}=\frac{105}{68} \\\\= 1\frac{37}{68} miles[/tex]
