Question

solve the problem. show your work.
darin and his mom go camping. the trail to the campground is \\(\frac{5}{8}\\) mile long. the trail to the overlook is \\(\frac{1}{4}\\) mile longer and the trail to the river is \\(\frac{1}{4}\\) mile shorter than the \\(\frac{5}{8}\\)-mile trail to the campground. what are the lengths of the trails to the overlook and the river?

Explanation:

Step1: Find the length of the trail to the overlook

The trail to the campground is $\frac{5}{8}$ mile, and the trail to the overlook is $\frac{1}{4}$ mile longer. So we add $\frac{5}{8}$ and $\frac{1}{4}$. First, convert $\frac{1}{4}$ to eighths: $\frac{1}{4}=\frac{2}{8}$. Then $\frac{5}{8}+\frac{2}{8}=\frac{7}{8}$.

Step2: Find the length of the trail to the river

The trail to the river is $\frac{1}{4}$ mile shorter than the trail to the campground. So we subtract $\frac{1}{4}$ from $\frac{5}{8}$. Convert $\frac{1}{4}$ to eighths: $\frac{1}{4}=\frac{2}{8}$. Then $\frac{5}{8}-\frac{2}{8}=\frac{3}{8}$.

Answer:

The length of the trail to the overlook is $\frac{7}{8}$ mile, and the length of the trail to the river is $\frac{3}{8}$ mile.