Peter spends 2 hours and 15 minutes doing his maths and another 1 hour and 30 minutes on English. what fraction of the day does he spend doing homework.
2h15' + 1h30' = 3h45' = 3.75 or 3 3/4 hrs
(3 3/4)/24 = 5/32 day
To find the fraction of the day Peter spends doing homework, we need to know the total number of hours in a day. Let's assume there are 24 hours in a day.
First, let's convert 2 hours and 15 minutes into a decimal form. We divide 15 minutes by 60 (since there are 60 minutes in an hour) to get the fraction of an hour:
15 minutes ÷ 60 minutes = 0.25 hours
So, Peter spends 2.25 hours on maths.
Next, let's convert 1 hour and 30 minutes into a decimal form:
30 minutes ÷ 60 minutes = 0.5 hours
So, Peter spends 1.5 hours on English.
Now, we add the time spent on maths and English:
2.25 hours + 1.5 hours = 3.75 hours
To express the time spent on homework as a fraction of the day, we divide the time spent on homework by the total number of hours in a day:
3.75 hours ÷ 24 hours = 0.15625
So, Peter spends approximately 0.15625 (or 15.625%) of the day doing homework.