Question

Chang took 4 1/4 hours to clean the kitchen. Then he took 1/8 hours to clean the bedroom. How much total time did Chang take to clean the two rooms? Write your answer as a mixed number in simplest form.

a) 4 3/8 hours
b) 4 1/4 hours
c) 4 3/4 hours
d) 4 7/8 hours

Answer 1

Chang took a total of 4 7/8 hours to clean the kitchen and the bedroom.

Step-by-step explanation:

To calculate the total time Chang took to clean the two rooms, we need to add the times for each task:

• Time taken to clean the kitchen = 4 1/4 hours
• Time taken to clean the bedroom = 1/8 hours

First, it's helpful to convert the mixed number to an improper fraction so we can add more easily:

• 4 1/4 hours = (4 × 4 + 1)/4 = 17/4 hours
• 1/8 hours remains the same

Now we add the fractions:

• 17/4 + 1/8 = (17 × 2 + 1)/8 = (34 + 1)/8 = 35/8 hours

Convert the improper fraction back to a mixed number:

• 35/8 hours = 4 hours + 7/8 hours

So, Chang took a total of 4 7/8 hours to clean the kitchen and the bedroom. The correct answer is d) 4 7/8 hours.