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Answer :
To find the total number of hours Jose worked in two weeks, we need to add the hours he worked last week with the hours he worked this week. Let's break down the problem step by step:
1. Convert Mixed Numbers to Improper Fractions:
- Last Week's Hours:
- Jose worked [tex]\(25 \frac{4}{8}\)[/tex] hours. We can simplify [tex]\(\frac{4}{8}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex]. As a decimal, [tex]\(\frac{1}{2} = 0.5\)[/tex].
- Therefore, last week's hours as a decimal is [tex]\(25 + 0.5 = 25.5\)[/tex].
- This Week's Hours:
- Jose worked [tex]\(32 \frac{5}{6}\)[/tex] hours.
- We convert [tex]\(\frac{5}{6}\)[/tex] to a decimal by dividing 5 by 6, which equals approximately [tex]\(0.8333\)[/tex].
- Thus, this week's hours as a decimal is [tex]\(32 + 0.8333 \approx 32.8333\)[/tex].
2. Add the Hours Worked:
- Now, add last week's and this week's hours:
- [tex]\(25.5 + 32.8333 = 58.3333\)[/tex].
3. Convert the Decimal Back to a Fraction:
- To find the exact total in mixed number form, note that [tex]\(0.3333\)[/tex] is equivalent to [tex]\(\frac{1}{3}\)[/tex], which is approximately [tex]\(\frac{8}{24}\)[/tex].
4. Combine the Values:
- Add the whole number parts and the fractional parts:
- The whole number part remains 58.
- The fractional part of the total hours is approximately [tex]\(\frac{1}{3}\)[/tex].
Therefore, the total number of hours Jose worked in two weeks is approximately [tex]\(58 \frac{8}{24}\)[/tex] which simplifies to [tex]\(58 \frac{1}{3}\)[/tex]. This simplifies and corresponds to one of the choices: [tex]\(58 \frac{11}{24}\)[/tex].
Thus, the closest match would likely be [tex]\(58 \frac{11}{24}\)[/tex] hours. However, based strictly on the computational answer you're given, it matches the [tex]\(58 \frac{5}{12}\)[/tex] hours selection.
1. Convert Mixed Numbers to Improper Fractions:
- Last Week's Hours:
- Jose worked [tex]\(25 \frac{4}{8}\)[/tex] hours. We can simplify [tex]\(\frac{4}{8}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex]. As a decimal, [tex]\(\frac{1}{2} = 0.5\)[/tex].
- Therefore, last week's hours as a decimal is [tex]\(25 + 0.5 = 25.5\)[/tex].
- This Week's Hours:
- Jose worked [tex]\(32 \frac{5}{6}\)[/tex] hours.
- We convert [tex]\(\frac{5}{6}\)[/tex] to a decimal by dividing 5 by 6, which equals approximately [tex]\(0.8333\)[/tex].
- Thus, this week's hours as a decimal is [tex]\(32 + 0.8333 \approx 32.8333\)[/tex].
2. Add the Hours Worked:
- Now, add last week's and this week's hours:
- [tex]\(25.5 + 32.8333 = 58.3333\)[/tex].
3. Convert the Decimal Back to a Fraction:
- To find the exact total in mixed number form, note that [tex]\(0.3333\)[/tex] is equivalent to [tex]\(\frac{1}{3}\)[/tex], which is approximately [tex]\(\frac{8}{24}\)[/tex].
4. Combine the Values:
- Add the whole number parts and the fractional parts:
- The whole number part remains 58.
- The fractional part of the total hours is approximately [tex]\(\frac{1}{3}\)[/tex].
Therefore, the total number of hours Jose worked in two weeks is approximately [tex]\(58 \frac{8}{24}\)[/tex] which simplifies to [tex]\(58 \frac{1}{3}\)[/tex]. This simplifies and corresponds to one of the choices: [tex]\(58 \frac{11}{24}\)[/tex].
Thus, the closest match would likely be [tex]\(58 \frac{11}{24}\)[/tex] hours. However, based strictly on the computational answer you're given, it matches the [tex]\(58 \frac{5}{12}\)[/tex] hours selection.
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