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.
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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 \(25 \frac{1}{5}\): \[ 25 \frac{1}{5} = \frac{25 \times 5 + 1}{5} = \frac{125 + 1}{5} = \frac{126}{5} \]
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Now divide the total miles by the miles per day: \[ \text{Number of days} = \frac{25 \frac{1}{5}}{2 \frac{4}{5}} = \frac{\frac{126}{5}}{\frac{14}{5}} \]
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Dividing fractions:
- Dividing by \(\frac{14}{5}\) is the same as multiplying by its reciprocal: \[ \frac{\frac{126}{5}}{\frac{14}{5}} = \frac{126}{5} \times \frac{5}{14} = \frac{126 \times 5}{5 \times 14} \]
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Cancel out the 5s: \[ \frac{126}{14} \]
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Now perform the division: \[ 126 \div 14 = 9 \]
Therefore, Jenny has walked for 9 days.
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