What you should do here is either multiply the fractions, add them, or convert them into decimals and then add them.
Multiplication: 2/3 (amount of hours he plays) x 5 (how many days he plays)
2/3 x 5/1 = 10/3 He plays a total of 10/3 hours after 5 days.
Addition: 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 10/3
Decimal: 2/3 is 0.6666666, we'll use 0.66 for short. 0.66 x 5 = 3.3
He plays a total of 3.3 hours after 5 days