Question

What is the fraction of 40 minutes in an hour of a clock?

Answer 1

Hint: We recall the definition of what is a fraction before starting to solve the problem. Then we use the fact that there are 60 minutes present in an hour of a clock. In order to get the required fraction, we divide the 40 minutes with the total minutes present in an hour. We do the necessary calculations required to get the desired result.

Complete step-by-step solution:
According to the problem, we have a clock and we need to find a fraction of 40 minutes in an hour at that clock.
We know that in a clock, there is total of 60 minutes in an hour.
We know that fraction is defined as parts that are present in the given size. To get a fraction of 40 minutes in an hour (i.e., 60 minutes), we divide 40 minutes with 60 minutes.
Let us assume the required fraction be ‘F’.
So, we have fraction F = \[\dfrac{\text{40 minutes}}{\text{1 hour}}\].
We have fraction F = $\dfrac{\text{40 minutes}}{\text{60 minutes}}$.
We have fraction F = $\dfrac{40}{60}$.
We have fraction F = $\dfrac{4}{6}$.
We have fraction F = $\dfrac{2}{3}$.
We have got a fraction of 40 minutes in an hour as $\dfrac{2}{3}$.
$\therefore$ The fraction of 40 minutes in an hour is $\dfrac{2}{3}$.

Note: We can also calculate the fraction by converting the given minutes into seconds by using the facts that a minute has 60 seconds and an hour has 3600 seconds. We can still extend the answer by dividing further and getting the answer in decimals. Since this problem doesn’t have many options to answer, we stopped at pure fraction form instead of decimals.