Express the answer as a decimal.

Question

Over the course of the week, Darren spent 2 and 1 over 4. hours doing math homework. He spent the same amount of time doing history homework. He also spent 3 and 3 over 4. hours at volleyball practice, and 1 and 3 over 8. hours at an art club meeting.

How many hours did he spend on these activities in total? Express the answer as a decimal.

Answer 1

math homework.

 

= 2 hours + 1/4 hour

 

same amount of time doing history homework

 

 = 2 hours + 1/4 hour

 

He also spent 3 and 3 over 4 hours at volleyball practice

 

= 3 hours + 3/4 hour

 

1 and 3 over 8 hours at an art club meeting.

 

= 1 hour + 3/8 hour

 

Total hours spent in activities:

 

2 hr + 1/4 hr + 2 hr +  1/4 hr  + 3 hr + 3/4 hr + 1 hr + 3/8 hr

 

add up all the whole number hours

 

2 hr + 2 hr + 3 hr + 1 hr = 8 hr

 

add up all the partial hours

 

1/4 hr + 1/4 hr + 3/4 hr + 3/8 hr

 

1/4 + 3/4 = 4/4 = 1

 

add this to the whole number hours

 

8 hr + 1 hr = 9 hr

 

what's left for partial hours?  (1/4 + 3/8) change to same denominators by multiplying 1/4 by 2/2

 

1/4 + 3/8 = 2/8 + 3/8 = 5/8 hr

 

total :

 

9 and 5/8 hr = 9 + 0.625 = 9.625 hr