To calculate the total hours Jim worked during the week, we'll add up his daily hours:

• Monday: $9 \frac{1}{4} = 9.25$ hours
• Tuesday: $4 \frac{1}{2} = 4.5$ hours
• Wednesday: $9 \frac{1}{4} = 9.25$ hours
• Thursday: $7 \frac{1}{2} = 7.5$ hours
• Friday: $9$ hours

Now, summing them up:

$9.25 + 4.5 + 9.25 + 7.5 + 9 = 39.5 \, \text{hours}$

Jim worked a total of 39.5 hours this week.

Would you like further details or have any other questions?

Here are 5 questions related to this problem:

1. What if Jim worked an additional 3 hours on Saturday, how many total hours would he work?
2. How would the total hours change if Thursday’s time was reduced by 1 hour?
3. If Jim gets paid by the hour, how much would he earn if his hourly wage is $20?
4. What is the average number of hours Jim worked per day?
5. How many more hours did Jim work on Monday compared to Tuesday?

Tip: Always convert mixed fractions into decimals to simplify addition.