Question

# What fraction of a day is 8 hours?

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Hint: Use unitary method to calculate number of days in 8 hours. Fraction of a day in 8 hours can be given by calculating the day in 8 hours.

Here, we need to determine the fraction of 8 hours by a day.
To find the fraction, we need to convert a day to hours. And then convert given 8 hours to the day with the help of the unitary method. So, as we know that there are 24 hours in a day and vice versa this also is true.
Hence, we can use a unitary method to calculate days in 8 hours which will represent the fraction of 8 hours in a day.
So, the number of days in 24 hours is 1.
And the number of days in 1 hour can be given as $\dfrac{1}{24}$ days.
Hence, the number of days in 8 hours can be calculated by using the number of days in 1 hour.
Therefore, using number of days in 2 hours be $8\times \dfrac{1}{24}$
Divide the numerator and denominator by 8, we can get
$\dfrac{8}{24}=\dfrac{1}{3}$days
Hence, we get that there is $\dfrac{1}{3}$ day in 8 hours or in other words we can say that $\dfrac{1}{3}$rd of a day is 8 hours.
Therefore, $\dfrac{1}{3}$rd fraction of a day is 8 hours.

Note: One can get a fraction by just dividing 8 hours to 24 hours without using a unitary method as 24 hours are representing a day as well. So, we can do it either of the ways.
One can get a fraction as ‘3’ by using the unitary method in a wrong way i.e. on dividing 24 by 8, one can get wrong results. Hence, we need to take care with the unitary method as well.