Question

Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. What fraction of Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. What fraction of weekday does Tim spend either sleeping or in school?weekday does Tim spend either sleeping or in school? Is this more or less than 1/2 a day? How much more or less?

Answer 1

You will have to add 7/24 and 1/3. But to do that you need to find a common denominator. You can times 1/3 by 8 and that will give you 8/24. Then you add 7/24 plus 7/24. The answer to that is 15/24 which we can see is greater then 1/2 because if you divide 24 by 2 it equals 12. So the number above 24 would have to be 12 or less. Now that we know that 15/24 is greater then 1/2 we can subtract 1/2 from 15/24 to find how much more less 1/2 is. You divide 15/24 by 9 so you can get 1.25/2. You can now see that 1/2 is .25 less then 15/24.

Step-by-step explanation:

1/3 and 7/24 is greater than 1/2 by .25

Answer 2

We can easily see that he spends 7 hours in school (because 7/24 is as much as 7 hours in 24 hours day). Now we schould find out how many hours is 1/3 of the day, so we have to simplify both fractions:

1/3 = 8/24

Now we add sleep and school times to find out if it's more or less than half a day:

8/24 + 7/24 = 15/24

Tim spends more than half a day sleeping and in school:

15/24 > 12/24

To find the difference we may just substract:

15/24 - 12/24 = 3/24
3/24 = 1/8

Answer: Tim spends 1/8 more than half a day in school or sleeping.