Question

John works part-time at a restaurant. On Friday he worked 3 1/4 h and on Saturday he worked 61/2 h. How many hours did he work altogether?

Answer 1

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:

• 26/8 + 52/8 = 78/8

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.