Jenny walks 2 4/5 miles every day. If she has walked 25 1/5 miles so far this month, how many days has she walked?(1 point) Responses 70 14/25 days 70 Start Fraction 14 over 25 End Fraction days 25/1,764 day Start Fraction 25 over 1,764 End Fraction day 9 days 9 days 1/9 of a day

Answer 1

To determine how many days Jenny has walked, we need to divide the total distance she has walked by the distance she walks each day.

1. Total distance walked: \( 25 \frac{1}{5} \) miles
2. Distance walked each day: \( 2 \frac{4}{5} \) miles

First, let's convert these mixed numbers to improper fractions:

1. \( 25 \frac{1}{5} = \frac{25 \times 5 + 1}{5} = \frac{125 + 1}{5} = \frac{126}{5} \)
2. \( 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5} \)

Now we need to divide the total distance by the daily distance:

\[ \text{Number of days} = \frac{\text{Total distance}}{\text{Distance per day}} = \frac{\frac{126}{5}}{\frac{14}{5}} = \frac{126}{5} \times \frac{5}{14} = \frac{126}{14} = 9 \]

Thus, Jenny has walked for 9 days.