Question

Clayton wants to be a musician. After school one afternoon, he spends 1/2 of his time practicing the drums and 3/4 of the remaining time working on homework and eating dinner. What fraction of his time does Clayton spend practicing the drums and working on homework and eating dinner combined?

1) 1/4
2) 1/3
3) 1/2
4) 2/3

Answer 1

Clayton spends 1/2 of his time practicing drums and 3/8 of his total time on homework and dinner, which combined is 7/8 of his time. The provided options do not include the correct answer.

Step-by-step explanation:

To calculate the fraction of time Clayton spends practicing the drums and doing homework and eating dinner combined, we can follow these steps:

• First, Clayton practices drums for 1/2 of his time.
• Then, he has 1/2 of his time remaining.
• Of this remaining time, he spends 3/4 on homework and eating dinner.

To find out what fraction of the total time this is, we multiply 1/2 (remaining time) by 3/4 (time spent on homework and dinner), which equals 3/8.

Now, we add the time spent practicing drums (1/2) to the time spent on homework and dinner (3/8):

1/2 + 3/8 = 4/8 + 3/8 = 7/8

So, Clayton spends 7/8 of his time combined on practicing the drums and doing homework and eating dinner. The answer to the question is not listed in the provided options because 7/8 is the correct fraction, which is larger than any of the choices.