Question

What fraction of an hour is 25 minutes.

Answer 1

Hint:
Here, we are required to find what fraction of an hour is 25 minutes. We will use the conversion formula, and convert 25 minutes in terms of hours. This will be represented as a fraction. Now, we will simplify this fraction to find the required fraction which has been asked in this question.

Formula Used:
1 hour $ = $ 60 minutes

Complete step by step solution:
In order to answer this question, first, we will do the conversion of hours to minutes and vice-versa.
To convert an hour to a minute measurement, we should multiply both the sides of the time by the conversion ratio.
Here, the conversion formula of converting an hour to minutes is:
1 hour $ = $ 60 minutes
Hence, whenever we are required to convert one time unit in hours into another in minutes, we can simply multiply it by 60 to get the required minutes.
Alternatively, in order to convert a minutes into hours, we use a unitary method and divide both the sides of the above conversion formula by 60.
Hence, we get,
1 minute $ = \dfrac{1}{{60}}$ hours
Thus, whenever we are given a time unit in minutes, if we divide that particular time limit by 60, we will be able to convert it into hours.
As in this question,
We are required to find what fraction of an hour is 25 minutes.
First of all, we know that,
1 hour $ = $ 60 minutes
Hence, 1 minute $ = \dfrac{1}{{60}}$ hours
(As discussed above)
Thus, in order to convert 25 minutes into hours, we will divide it by 60
Thus, we get,
25 minutes $ = \dfrac{{25}}{{60}}$ hours
Now, if we look at the fraction carefully, then, the denominator shows the total minutes present in an hour whereas the numerator shows the minutes asked in the question.
Hence, if simplified further,
25 minutes $ = \dfrac{5}{{12}}$ hours

Thus, clearly, we can say that 25 minutes is ${\dfrac{5}{{12}}^{th}}$ fraction of an hour.
Hence, this is the required answer.

Note:
An hour is a period of time. In a day, there are 24 hours and in 1 hour there are 60 minutes. It is an accepted unit of time for use with the metric system. Minute is also a period of time but it is equal to 60 seconds. Also, in 1 hour there are 60 minutes. This is also an accepted unit of time for use with the metric system. Conversion formula helps us to state one unit in terms of another and hence, remove any kind of confusion or misunderstandings related to time.