julia studied math for 3 1/3 hours during the 4 days before her last math test what was the average amount of time she studied each day
10/3 / 4 = 10/12 hours per day
10/12 * 60 = 50 minutes per day
To find the average amount of time Julia studied each day, we can divide the total number of hours she studied (3 1/3 hours) by the number of days she studied (4 days).
First, we need to convert the mixed number 3 1/3 to an improper fraction. The whole number part (3) can be rewritten as 3/1. Adding 3/1 to 1/3, we get (3/1) + (1/3) = (9/3) + (1/3) = 10/3.
Now we can divide 10/3 hours by 4 days to get the average amount of time she studied each day.
10/3 ÷ 4 can be simplified by multiplying the numerator by the reciprocal of the denominator:
10/3 ÷ 4 = 10/3 × 1/4 = (10/3) * (1/4) = 10/12.
The fraction 10/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
10 ÷ 2 / 12 ÷ 2 = 5/6.
Therefore, the average amount of time Julia studied each day is 5/6 of an hour or approximately 50 minutes.