To calculate Niki's total travel time each week, we first need to find out how much time she spends on driving each day and then multiply that by the number of working days.
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Daily travel time:
- Driving to work: \( \frac{1}{2} \) hour
- Driving home: \( \frac{1}{4} \) hour
To find the total daily travel time, we add these two fractions: \[ \frac{1}{2} + \frac{1}{4} \]
To add these fractions, we need a common denominator. The least common denominator of 2 and 4 is 4. We convert \( \frac{1}{2} \) to a fraction with a denominator of 4: \[ \frac{1}{2} = \frac{2}{4} \]
Now we can add: \[ \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \text{ hours} \]
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Total weekly travel time:
- Niki works every day except Saturday and Sunday, which means she works 5 days a week.
- Therefore, her total travel time in a week is: \[ 5 \times \frac{3}{4} = \frac{15}{4} \text{ hours} \]
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Convert \(\frac{15}{4}\) into a mixed fraction: To convert the improper fraction \(\frac{15}{4}\) into a mixed number:
- Divide 15 by 4, which gives us 3 with a remainder of 3.
- Thus, we can express \(\frac{15}{4}\) as: \[ 3 \frac{3}{4} \]
Therefore, Niki spends \( \mathbf{3 \frac{3}{4}} \) hours traveling each week.
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