Final answer:
John worked a total of 9 3/4 hours at the restaurant by working 3 1/4 hours on Friday and 6 1/2 hours on Saturday, after converting the mixed numbers to improper fractions and summing them.
Step-by-step explanation:
To determine how many hours John works part-time at a restaurant, we need to add his working hours for Friday and Saturday. On Friday, he worked 3 1/4 hours and on Saturday, he worked 6 1/2 hours. To add these two times together, we should convert the mixed numbers to improper fractions. Therefore, 3 1/4 hours is the same as (3 × 4) + 1 = 13/4 hours, and 6 1/2 hours is the same as (6 × 2) + 1 = 13/2 hours.
Now, let's find a common denominator and add these two fractions:
- 13/4 × 2/2 = 26/8
- 13/2 × 4/4 = 52/8
Adding these two together:
78/8 hours can be simplified to 9 6/8 hours, which further simplifies to 9 3/4 hours.
So, John worked 9 3/4 hours altogether over the two days.