4. myka plans to hike a total of 54 1/4 miles on her 5 - day trip. she will hike 12 1/2 miles on each of the…

Explanation:

Step1: Calculate total miles hiked in first 3 days

She hikes $12\frac{1}{2}$ miles each of first 3 days. So total for first 3 days is $3\times12\frac{1}{2}=3\times\frac{25}{2}=\frac{75}{2}$ miles.

Step2: Add miles hiked on fourth day

She hikes $10\frac{3}{8}=\frac{83}{8}$ miles on fourth - day. First, find a common denominator for $\frac{75}{2}$ and $\frac{83}{8}$. The common denominator is 8. So $\frac{75}{2}=\frac{75\times4}{2\times4}=\frac{300}{8}$. Then the total miles hiked in first 4 days is $\frac{300}{8}+\frac{83}{8}=\frac{300 + 83}{8}=\frac{383}{8}$ miles.

Step3: Calculate miles left for fifth day

The total miles to hike is $54\frac{1}{4}=\frac{217}{4}$. Convert $\frac{217}{4}$ to have a denominator of 8, so $\frac{217}{4}=\frac{217\times2}{4\times2}=\frac{434}{8}$. The miles left for the fifth day is $\frac{434}{8}-\frac{383}{8}=\frac{434 - 383}{8}=\frac{51}{8}=6\frac{3}{8}$ miles.

Answer:

$6\frac{3}{8}$ miles