Express 2 min 30 sec as a fraction of ¾ hour. Give your answer in its lowest terms.
2 min and 30 sec = 2.5 min
3/4 hour = 45 minutes,
so the fraction you want is 2.5/45 = 25/450 = 1/18
2.5=2min and 30sec
¾hours= 45min
:2.5/45=25/450=1/18
MATHEMATICS
11/3
Express 2 minutes 30 seconds as a fraction of 3/4 hours
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To express 2 minutes 30 seconds as a fraction of ¾ hour, we first need to convert 2 minutes 30 seconds into a fraction of an hour.
There are 60 minutes in an hour, so we can convert 2 minutes 30 seconds into a fraction by dividing it by 60.
2 minutes 30 seconds = 2 + (30/60) = 2 + (1/2) = 2 ½ = 5/2
Now, we need to find a common denominator between ¾ and 2/1 (since we want the fraction in terms of ¾ hour).
The common denominator between ¾ and 2/1 is 4.
Thus, we need to multiply both the numerator and denominator of 2/1 by 4 to get a fraction with a common denominator of 4.
2/1 * 4/4 = 8/4
Therefore, the fraction 2 minutes 30 seconds expressed as a fraction of ¾ hour is:
(5/2) / (8/4) = (5/2) * (4/8) = (20/16)
Now, we need to simplify this fraction to its lowest terms.
To simplify, we divide the numerator and the denominator by their greatest common divisor, which is 4.
(20/16) / (4/4) = (5/4) / (1/1) = 5/4
Therefore, 2 minutes 30 seconds is equivalent to 5/4 of ¾ hour, in its lowest terms.