Question

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)

Answer 1

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

1. **Convert the mixed numbers to improper fractions:**
- For \(2 \frac{4}{5}\):
\[
2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}
\]
- For \(25 \frac{1}{5}\):
\[
25 \frac{1}{5} = \frac{25 \times 5 + 1}{5} = \frac{125 + 1}{5} = \frac{126}{5}
\]

2. **Now divide the total miles by the miles per day:**
\[
\text{Number of days} = \frac{25 \frac{1}{5}}{2 \frac{4}{5}} = \frac{\frac{126}{5}}{\frac{14}{5}}
\]

3. **Dividing fractions:**
- Dividing by \(\frac{14}{5}\) is the same as multiplying by its reciprocal:
\[
\frac{\frac{126}{5}}{\frac{14}{5}} = \frac{126}{5} \times \frac{5}{14} = \frac{126 \times 5}{5 \times 14}
\]

4. **Cancel out the 5s:**
\[
\frac{126}{14}
\]

5. **Now perform the division:**
\[
126 \div 14 = 9
\]

Therefore, Jenny has walked for **9 days**.