Louisa biked [tex]50 \frac{4}{5}[/tex] miles in 4 hours. How many miles did she bike per hour? Let [tex]m[/tex] represent the number of miles.

Equivalent ratios:
- Miles per hour: [tex]\frac{50 \frac{4}{5}}{4}[/tex]



Answer :

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.