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.