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Jose added up his work hours for his paycheck. Last week he worked [tex]$25 \frac{5}{8}$[/tex] hours. This week he worked [tex]$32 \frac{5}{6}$[/tex] hours. How many total hours did he work in two weeks?

Answer :

Sure, let's solve the problem step-by-step.

We need to find out the total hours Jose worked over two weeks. We start by adding the hours worked each week.

1. Convert the mixed numbers to improper fractions (optional but helpful for understanding):
- Last week, Jose worked [tex]\(25 \frac{5}{8}\)[/tex] hours.
- To convert [tex]\(25 \frac{5}{8}\)[/tex]:
[tex]\[
25 \frac{5}{8} = 25 + \frac{5}{8}
\][/tex]

- This week, Jose worked [tex]\(32 \frac{5}{6}\)[/tex] hours.
- To convert [tex]\(32 \frac{5}{6}\)[/tex]:
[tex]\[
32 \frac{5}{6} = 32 + \frac{5}{6}
\][/tex]

2. Convert the mixed numbers to decimal form:
- For [tex]\(25 \frac{5}{8}\)[/tex]:
[tex]\[
25 + \frac{5}{8} = 25 + 0.625 = 25.625
\][/tex]

- For [tex]\(32 \frac{5}{6}\)[/tex]:
[tex]\[
32 + \frac{5}{6} = 32 + 0.833333\ldots \approx 32.8333
\][/tex]

3. Add these decimal values to find the total hours worked:
- Last week: 25.625 hours
- This week: 32.8333 hours

Adding the two weeks' hours:
[tex]\[
25.625 + 32.8333 \approx 58.4583
\][/tex]

So, the total number of hours Jose worked over the two weeks is approximately 58.4583 hours.

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