To find out how many minutes Spencer worked out each day, you need to divide the total number of minutes by the number of days.
He worked out for a total of \( 232 \frac{1}{2} \) minutes over 5 days.
First, convert \( 232 \frac{1}{2} \) into an improper fraction:
\[ 232 \frac{1}{2} = 232 + \frac{1}{2} = \frac{232 \times 2 + 1}{2} = \frac{464 + 1}{2} = \frac{465}{2} \text{ minutes} \]
Now, divide this total by 5 (the number of days):
\[ \text{Minutes per day} = \frac{465}{2} \div 5 = \frac{465}{2} \times \frac{1}{5} = \frac{465}{10} = 46.5 \text{ minutes} \]
Thus, Spencer worked out for 46.5 minutes each day.