The Amold family arrived at the beach at 10:30 A.M. They spent 3 3/4 hours there. What time did they leave the beach?
From 10:30 a.m to 12 noon is 1 1/2 hours
That leaves 2 1/4 hours more past noon.
That would be 2:15 p.m.
To find out what time the Amold family left the beach, we need to add the amount of time they spent at the beach to the time they arrived.
The family arrived at 10:30 A.M.
They spent 3 3/4 hours at the beach, which can be written as a mixed number as 3 + 3/4.
To add the time, we first need to convert the mixed number to an improper fraction.
3 + 3/4 = (3 * 4 + 3) / 4 = 15/4.
Now we can add the time:
10:30 A.M. + 3 3/4 hours = 10:30 A.M. + 15/4 hours.
To add the hours, we need to convert the time to a common denominator:
10:30 A.M. = 10 30/60 A.M. = 10 1/2 A.M.
Now we can add the hours:
10 1/2 A.M. + 15/4 hours = (10 * 4 + 1/2 + 15) / 4 = (40 + 1/2 + 15) / 4 = (55 + 1/2) / 4 = 55 1/2 / 4.
To divide the mixed number by the fraction, we need to convert it to an improper fraction:
55 1/2 = (55 * 2 + 1) / 2 = 111/2.
Now we can divide:
(111/2) / 4 = 111/2 * 1/4 = 111/8.
To convert the improper fraction back to a mixed number, we divide the numerator by the denominator:
111 ÷ 8 = 13 remainder 7.
So the time they left the beach is 13:7, which can be written as 1:07 P.M.