Question

Judy hiked on two trails. The first trail was 5- 1/4 miles long, and the second trail was 1- 1/2 times longer than the first one. How many miles did Judy hike?

Answer 1

Answer:

Judy hiked: $1\frac{37}{68} miles$

Step-by-step explanation:

The first trail = $5\frac{1}{4}= \frac{21}{4}$ miles

The second trail = 1 1/2 times longer than the first

$1\frac{1}{2} * 5\frac{1}{4}\\\\ = \frac{3}{2}*\frac{21}{4} =\frac{63}{8}$ miles

Total trails then becomes:

$\frac{21}{4} +\frac{63}{8}= \frac{(2*21) + 63}{8} \\\\= \frac{42+63}{68}=\frac{105}{68} \\\\= 1\frac{37}{68} miles$