Question

How do I convert minutes to a fraction of an hour?

Answer 1

Hint: The minute is a unit of time usually equal to ​\[\dfrac{1}{{60}}\] of an hour, or 60 seconds. An hour is a unit of time conventionally reckoned as \[\dfrac{1}{{24}}\] of a day and there are 60 minutes in an hour, and 24 hours in a day. A period of time equal to \[\dfrac{1}{{24}}\] of a day i.e., 1 Day = 24 Hours and 1 Hour = 60 minutes, hence by this known data we can convert minutes to a fraction of an hour.

Complete step-by-step solution:
Minutes are a part of an hour and there are 60 minutes to an hour. As soon as you divide minutes by 60 you are converting to hours.
Let's consider the number of minutes you have: m
There are 60 minutes in an hour, hence we can write the number of minutes as a fraction of an hour as:
\[\dfrac{m}{{\dfrac{{60\min }}{{hr}}}}\]
Let us explain this with an example: Let's say you want to convert 17 minutes into a fraction of an hour i.e.,
As we know that: \[\dfrac{m}{{\dfrac{{60\min }}{{hr}}}}\]
= \[\dfrac{{17\min }}{{\dfrac{{60\min }}{{hr}}}}\]
= \[\dfrac{{\dfrac{{17\min }}{1}}}{{\dfrac{{60\min }}{{hr}}}}\]
= \[\dfrac{{17\min \times hr}}{{1 \times 60\min }}\]
Hence, we get
= \[\dfrac{{17}}{{60}}hr\]
As 60 minutes implies 1 hour.
Therefore, we can convert minutes to fraction of an hour by:
m: \[\text{minutes} = \dfrac{m}{{60}}hr\]
Hence, write the fraction as \[\dfrac{{\text{minutes}}}{{60}}\]to get a fraction of an hour.

Additional information: There are 3600 seconds in an hour. There are 60 seconds in a minute, 60 seconds in an hour, 3600 seconds in an hour, 24 hours in a day, 7 days in a week, 52 weeks in a year, 365 days in a year, 10 years in a decade, 100 years in a century, 10 decades in a century, 100000 years in an eon.

Note: The key point to convert minutes to fraction of an hour is we must know all the basic terms related to the time i.e., how many minutes are there in an hour, hours in a day, seconds in a minute etc, hence for any given minute we can convert into hour based on the minutes the hour consists of and you can refer the additional information given for further understanding.