4/15 of a pool is filled every 1/8 of an hour. How much of the pool will be filled in one hour?
(4/15) * 8 = 32/15 = 2 2/15
Oops -- the pool was full in less than 1/2 hour. Then it overflowed.
well, how many eighths in a whole?
1 is 8 * 1/8, so 8 * 4/15 = 32/15
Now that's more than a full pool, so it's kind of a stupid question. Where does the extra water go? Once the pool is full, it can't hold any more.
4/15 is about 1/4, so it only takes about 4 hours to fill the pool.
Thank you for the help, but I am confused on as to why you used 8 instead of 1/8? Is it because the whole pool is being filled or.. ?
ok ok ok
I could have said
1 = 8/8 = 8 * 1/8
1 / (1/8) = 8
that is, if I gave you 1/8 of an apple, how many times would I have to do it to give you a whole apple? 8 times.
If that is too hard to visualize, just take a piece of paper
Cut it in half. How many pieces? 2.
2 * 1/2 = 1
3 * 1/3 = 1
4 * 1/4 = 1
and so on.
Whatever you tell me abou 1/8 of a pool, you have to tell it 8 times to make it true for the whole pool.
Oh okay! Thank you for the help! I think I understand now. Thank you!
To find out how much of the pool will be filled in one hour, we first need to determine how many 1/8-hour intervals make up one hour.
Since there are 60 minutes in one hour and each 1/8-hour interval is equal to 7.5 minutes (60 minutes ÷ 8), we divide the total number of minutes in an hour by the number of minutes in each interval:
60 minutes ÷ 7.5 minutes = 8 intervals.
Therefore, one hour contains 8 intervals of 1/8 hours.
Now we can calculate how much of the pool is filled in each 1/8-hour interval:
4/15 of the pool is filled in 1/8 hour.
To find how much of the pool is filled in one hour, we multiply the amount filled in each interval by the number of intervals in one hour:
(4/15) pool * 8 intervals = 32/15 pool.
Therefore, 32/15 of the pool will be filled in one hour.