Certainly! Let's work through this step by step.
1. Convert the mixed number to an improper fraction:
Louisa biked \( 50 \frac{4}{5} \) miles. Converting this mixed number to an improper fraction:
[tex]\[
50 \frac{4}{5} = 50 + \frac{4}{5} = \frac{250}{5} + \frac{4}{5} = \frac{254}{5}
\][/tex]
2. Convert the improper fraction to a decimal:
Now, convert the improper fraction \( \frac{254}{5} \) to a decimal:
[tex]\[
\frac{254}{5} = 50.8
\][/tex]
So, Louisa biked 50.8 miles in total.
3. Calculate the miles per hour:
Louisa biked those 50.8 miles in 4 hours. To find the number of miles per hour, we divide the total miles by the total hours:
[tex]\[
\text{Miles per hour} = \frac{\text{Total miles}}{\text{Total hours}} = \frac{50.8}{4} = 12.7
\][/tex]
Therefore, Louisa biked 12.7 miles per hour.
4. Answer:
In conclusion, Louisa biked 12.7 miles per hour.
