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Mrs. Rothstein spent [tex]9 \frac{3}{4}[/tex] hours commuting last week. If she commuted [tex]3 \frac{1}{4}[/tex] hours each day, how many days did Mrs. Rothstein commute?

Answer :

Certainly! Let's work through this problem step-by-step to find out how many days Mrs. Rothstein commuted last week.

1. Convert Mixed Numbers to Improper Fractions or Decimals:
- First, let's convert the mixed numbers to decimals for easier calculation:
- Mrs. Rothstein spent [tex]\(9 \frac{3}{4}\)[/tex] hours commuting last week. As a decimal, that is 9.75 hours.
- She commuted [tex]\(3 \frac{1}{4}\)[/tex] hours each day. As a decimal, that is 3.25 hours per day.

2. Calculate the Number of Days Commuted:
- To find out how many days she commuted, you divide the total hours by the hours per day:
[tex]\[
\text{Number of days} = \frac{9.75 \text{ hours}}{3.25 \text{ hours/day}}
\][/tex]

3. Perform the Division:
- When you divide 9.75 by 3.25, you get exactly 3.

So, Mrs. Rothstein commuted for 3 days last week.

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