Question

What is $\dfrac{5}{6}$ of an hour?

Answer 1

Hint: In the above problem, we are asked to find $\dfrac{5}{6}$ of an hour. We know that one hour is equal to 60 minutes so multiplying $\dfrac{5}{6}$ to 60 will give us the minutes in which $\dfrac{5}{6}$ of an hour is present. Now, solve this multiplication and get the minutes.

Complete step-by-step solution:
We have given $\dfrac{5}{6}$ of an hour. We can write $\dfrac{5}{6}$ of an hour as multiplication of $\dfrac{5}{6}$ by 1 hour and it will look as follows:
$\begin{align}
  & \dfrac{5}{6}\times 1hour \\
 & =\dfrac{5}{6}hour \\
\end{align}$
Now, we can find the number of minutes which are possible when we multiply $\dfrac{5}{6}$ by 1 hour. We know that 1 hour contains 60 minutes so writing 1 hour as 60 minutes in the above we get,
$\dfrac{5}{6}\times \left( 60\text{minutes} \right)$
In the above expression, the numerator and the denominator will be divided by 6 and we get,
$\dfrac{5}{1}\times \left( 10\text{minutes} \right)$
Now, in the numerator, we are going to multiply 5 by 10 and we get,
50 minutes
Hence, 50 minutes contained in $\dfrac{5}{6}$ of an hour.

Note: In the above solution, we have shown the solution in minutes, we can also show the solution in seconds and that can be achieved by multiplying the given answer to 60 seconds.
We have shown that 50 minutes comprises $\dfrac{5}{6}$ of an hour. Now, converting minutes into seconds by multiplying these minutes to 60 we get,
$50\times 60$
When we multiply 50 by 60 then first of all we will multiply 5 by 6 which will give us the answer 30 then we put two zeros after 30 then the result of multiplication will be:
3000 seconds
Hence, 3000 seconds contained in $\dfrac{5}{6}$ of an hour.