Question

Stacy studies math for 2/6 of an hour per day and science for 3/6 of an hour per day
How many total hours does she study in 5 days

Answer 1

First, we need to find out how much time Stacy studies in one day. She studies math for \( \frac{2}{6} \) of an hour and science for \( \frac{3}{6} \) of an hour.

To get the total study time per day, we add the two times together:

\[
\text{Total study time per day} = \frac{2}{6} + \frac{3}{6}
\]

Combining the fractions:

\[
\text{Total study time per day} = \frac{2 + 3}{6} = \frac{5}{6} \text{ hours}
\]

Next, we multiply the total study time per day by the number of days, which is 5:

\[
\text{Total study time in 5 days} = 5 \times \frac{5}{6}
\]

Calculating this gives:

\[
\text{Total study time in 5 days} = \frac{25}{6} \text{ hours}
\]

To convert \( \frac{25}{6} \) into a mixed number, we divide 25 by 6:

\[
25 \div 6 = 4 \quad \text{remainder } 1
\]

So, \( \frac{25}{6} \) hours is equal to:

\[
4 \text{ hours and } \frac{1}{6} \text{ hour}
\]

In summary, the total time Stacy studies in 5 days is

\[
\frac{25}{6} \text{ hours, or } 4 \text{ hours and } \frac{1}{6} \text{ hour}.
\]