Alex spends 4 hours a day playing video games on weekdays and 5 hours a day on weekends.What fraction of the week does Alex spend playing video games?

Step 1: Calculate the total hours Alex spends playing video games on weekdays.

Alex plays video games for 4 hours a day for 5 days (Monday to Friday). So, the total hours he spends on weekdays is 4 hours/day * 5 days = 20 hours.

Step 2: Calculate the total hours Alex spends playing video games on weekends.

Alex plays video games for 5 hours a day for 2 days (Saturday and Sunday). So, the total hours he spends on weekends is 5 hours/day * 2 days = 10 hours.

Step 3: Calculate the total hours Alex spends playing video games in a week.

The total hours Alex spends playing video games in a week is the sum of the total hours he spends on weekdays and weekends. So, the total hours he spends in a week is 20 hours (weekdays) + 10 hours (weekends) = 30 hours.

Step 4: Calculate the total hours in a week.

There are 24 hours in a day and 7 days in a week. So, the total hours in a week is 24 hours/day * 7 days = 168 hours.

Step 5: Calculate the fraction of the week Alex spends playing video games.

The fraction of the week Alex spends playing video games is the total hours he spends playing video games divided by the total hours in a week. So, the fraction is 30 hours / 168 hours = 15/84 = 5/28.

So, Alex spends 5/28 of the week playing video games.