Question

Can somebody tell me how to solve this problem?

"Last Thursday, Brandon was awake for 2/3 of the total time in the day.
He spent 1/4 of his waking hours reading science fiction books.
What fraction of the total time in the day did Brandon spend reading science fiction books?"

Answer 1

Total time of day = 24 hrs
  2   x 24 = 16 hrs
  3
So, Brandon was awake for 16 hrs.
He spent one-fourth of his waking hrs reading science fiction books.
So, he spent,  1  x 16 = 4 hrs
                    4
Out of 16 hrs, he spent 4 hrs reading science fiction books.
So, he spent  4  hrs. reading, i.e.,  4  divided by 4 = 1
                   16                           16                4    4
Brandon spent 1 hrs reading.
                     4

Answer 2

Brandon was awake for 2/3day =24*2/3=16 hours
Time spent for reading fiction ⇒ 16*1/4= 4 hours
 Fraction of day reading fiction⇒4/24=1/6
Answer  1/6