Monday John studied 1/2Hr, on Tuesday 3/4Hr, and Thursday 2Hr. What is johns average study time per day?

Question

Monday John studied 1/2Hr, on Tuesday 3/4Hr, and Thursday 2Hr. What is johns average study time per day?

Answer 1

The average is (the total) / (the number of items).

 

The problem gives 3 items, so 3 goes in the denominator.  What goes in the numerator?

       1/2 + 3/4 + 2

     we need to convert those to have a common denominator (and 2 will become an improper fraction).

 

      1/2 + 3/4 + 2

      2/4 + 3/4 + 8/4

 

     (2 + 3 + 8)/4

         13/4

 

Now, don't forget the denominator:

        (13/4) / 3

         13/12             (still an improper fraction)

         1 1/12             (back to a proper fraction)

 

Answer 2

Hi Marah, average is the sum of the values divided by the number of values. In this problem, there are three values, 1/2 hour, 3/4 hour, and 2 hours.

 

The sum of the values is: 1/2 + 3/4 + 2. Converting the fractions to decimals gives:

 

1/2 = .5, 3/4 = .75

 

.5 + .75 + 2 = 3.25 hours

 

The number of values is 3.

 

The average study time per day is: A = 3.25 / 3 or A ≈ 1.08 hours per day. This can be rewritten in hours and minutes if needed, A ≈ 1hour and 5 minutes of study time per day.

 

Questions?