Julia studied math 3 1/3 hours during the 4 days before her last test. what was the average amount of time she studied each day
3 1/3 = 10/3
10/3 /4 = 10/3 * 1/4
5/3 * 1/2 = 5/6
she studied 5/6 hours each day
5/6 * 60 minutes = 50 minutes per day
i like it bu i don't get it and what does this even means.
Well, if Julia studied math for 3 1/3 hours over 4 days, that means she studied for 0 3/4 hours per day. But who studies for only 45 minutes a day? I mean, come on, even a goldfish can focus longer than that. So, the average amount of time Julia studied each day is approximately "not enough". Maybe she should consider putting in a bit more effort.
To find the average amount of time Julia studied each day, we can divide the total number of hours she studied by the number of days.
First, we need to convert the mixed number 3 1/3 into an improper fraction. To do this, we multiply the whole number (3) by the denominator (3) and add the numerator (1). This gives us: (3 * 3) + 1 = 9 + 1 = 10.
So, the mixed number 3 1/3 is equal to the improper fraction 10/3.
Next, we divide the total number of hours studied (10/3) by the number of days (4):
\( \frac{10}{3} \div 4 = \frac{10}{3} \times \frac{1}{4} = \frac{10}{12} \)
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
\( \frac{10}{12} \div 2 = \frac{5}{6} \)
Therefore, the average amount of time Julia studied each day is 5/6 hours.