Question

How many minutes are there in \[2\dfrac{3}{5}\] hours?

Answer 1

Hint: In this question, we need to find how many minutes there are in \[2\dfrac{3}{5}\] hours. The hour given is in mixed fraction. Mixed fraction is nothing but simply an improper fraction written as a sum of the whole number and a proper fraction. In order to convert hours to minutes , we need to just multiply by \[60\] since there are \[60\] minutes in an hour. A unit of time is equal to \[60\] seconds.

Complete step-by-step solution:
Given , \[2\dfrac{3}{5}\]
We need to convert mixed fraction to proper fraction.
\[2\dfrac{3}{5} = \dfrac{\left( 5 \times 2 \right) + 3}{5}\]
On simplifying,
We get,
\[2\dfrac{3}{5} = \dfrac{13}{5}\]
Here we need to convert given hours into minutes. In order to convert hours to minutes , we need to just multiply by \[60\] .
\[\Rightarrow \ \dfrac{13}{5} = \dfrac{13}{5} \times 60\]
On simplifying,
We get,
\[= \ 13 \times 12\]
By multiplying,
We get,
\[= \ 156\ minutes\]
Final answer :
There are \[156\] minutes in \[2\dfrac{3}{5}\] hours.

Note: We know that a mixed fraction is nothing but a combination of the whole number and a proper fraction. In this question, given \[2\dfrac{3}{5}\] , here \[2\] is a whole number whereas \[\dfrac{3}{5}\] is a proper fraction. In order to convert hours to minutes , we need to just multiply by \[60\] .
In \[1\] hour, there are \[1 \times 60 = 60\] minutes
In \[2\] hours there are \[2 \times 60 = 120\] minutes
In \[3\] hours there are \[3 \times 60 = 180\] minutes and so on…
Alternative solution :
We can also convert hours to minutes by converting whole hours and fraction of the hours of the given mixed fraction separately.
In this question, given \[2\dfrac{3}{5}\] , here \[2\] is a whole hour Whereas \[\dfrac{3}{5}\] is a fraction of an hour.
In order to convert hours to minutes , we need to just multiply by \[60\] .
At first in \[2\] hours there are \[2 \times 60 = 120\] minutes .
\[\dfrac{3}{5}\] of a hour is \[\dfrac{3}{5} \times 60\]
On simplifying,
We get,
\[\Rightarrow \ 36\ minutes\]
Now we need to add minutes, thus we get,
\[120\ minutes\ + \ 36\ minutes = 156\ minutes\] .
Thus , There are \[156\] minutes in \[2\dfrac{3}{5}\] hours.