Question

One minute is \[\dfrac{1}{{60}}\] of an hour. What part of an hour is \[12\] minutes?

Answer 1

Hint: We are asked to find what part of an hour is \[12\] minutes. Given, one minute is \[\dfrac{1}{{60}}\] of an hour i.e., \[1\] hour consisting of \[60\] minutes. So, using the unitary method we get that \[12\] minute contains \[\dfrac{{12}}{{60}}\] hours. We will simplify this by cancelling the common term from the numerator and the denominator to get the final result.

Complete step by step answer:
In this question, we are asked to find what part of an hour is \[12\] minutes. For this, we need to know the relation between hour and minutes. Given in the question that one minute is \[\dfrac{1}{{60}}\] of an hour. This means that \[1\] hour consists of \[60\] minutes or in other words, \[60\] minutes make \[1\] hour. So, if \[1\] minute is \[\dfrac{1}{{60}}\] of an hour then using unitary method, \[12\] minute is \[\dfrac{{12}}{{60}}\] of an hour.

So, we can write
\[ \Rightarrow 1{\text{ minute}} = \dfrac{1}{{60}}{\text{ hour}}\]
\[ \Rightarrow 12{\text{ minutes}} = \dfrac{{12}}{{60}}{\text{ hour}}\]
To find the result in the simplest form, we have to cancel the common terms from the numerator and the denominator. On cancelling the common terms from the numerator and the denominator of \[\dfrac{{12}}{{60}}\], we get
\[ \Rightarrow 12{\text{ minutes}} = \dfrac{1}{5}{\text{ hour}}\]

Therefore, \[12\] minutes is \[\dfrac{1}{5}th\] part of an hour.

Note: The second symbol is \[s\] and abbreviation is \[\sec \], is the base of time in the SI units. A minute is a unit of time usually equal to \[\dfrac{1}{{60}}\] of an hour or \[60\] seconds. The abbreviation or symbol of minute or minutes is \[\min \](without a dot). An hour, symbol is \[h\], is denoted as \[\dfrac{1}{{24}}\] of a day.