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Answer :
Sure, let's work through the problem step by step.
Mrs. Rothstein spent [tex]\(9 \frac{3}{4}\)[/tex] hours commuting last week, and she commuted [tex]\(3 \frac{1}{4}\)[/tex] hours each day. We need to find out how many days she commuted.
1. Convert Mixed Numbers to Improper Fractions or Decimals:
- First, convert [tex]\(9 \frac{3}{4}\)[/tex] to a decimal. The fraction [tex]\(\frac{3}{4}\)[/tex] is equivalent to 0.75. So, [tex]\(9 \frac{3}{4}\)[/tex] becomes 9.75 hours.
- Similarly, convert [tex]\(3 \frac{1}{4}\)[/tex] to a decimal. The fraction [tex]\(\frac{1}{4}\)[/tex] is equivalent to 0.25. So, [tex]\(3 \frac{1}{4}\)[/tex] becomes 3.25 hours.
2. Calculate the Number of Days:
- Divide the total number of hours she spent commuting by the number of hours she commuted each 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 3. This means Mrs. Rothstein commuted for 3 days.
Thus, Mrs. Rothstein commuted for 3 days last week.
Mrs. Rothstein spent [tex]\(9 \frac{3}{4}\)[/tex] hours commuting last week, and she commuted [tex]\(3 \frac{1}{4}\)[/tex] hours each day. We need to find out how many days she commuted.
1. Convert Mixed Numbers to Improper Fractions or Decimals:
- First, convert [tex]\(9 \frac{3}{4}\)[/tex] to a decimal. The fraction [tex]\(\frac{3}{4}\)[/tex] is equivalent to 0.75. So, [tex]\(9 \frac{3}{4}\)[/tex] becomes 9.75 hours.
- Similarly, convert [tex]\(3 \frac{1}{4}\)[/tex] to a decimal. The fraction [tex]\(\frac{1}{4}\)[/tex] is equivalent to 0.25. So, [tex]\(3 \frac{1}{4}\)[/tex] becomes 3.25 hours.
2. Calculate the Number of Days:
- Divide the total number of hours she spent commuting by the number of hours she commuted each 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 3. This means Mrs. Rothstein commuted for 3 days.
Thus, Mrs. Rothstein commuted for 3 days last week.
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