Question

What fraction of a day is $8$ hours.
A. $\dfrac{1}{2}$
B. $\dfrac{1}{4}$
C. $\dfrac{1}{3}$
D. None of the above

Answer 1

Hint: Fraction can be defined as the number represented as the part of the whole, where part is expressed in the numerator and the whole of the thing is represented in the denominator. Here we will use total hours of the day as the whole in the denominator and the fraction of the term given in the numerator.

Complete step by step answer:
We know that, One day $ = 24$ hours. We are given to find the fraction of a day for $8$ hours, it can be represented by $\dfrac{8}{{24}}$.
Find the factors for the term in the denominator –
$\dfrac{8}{{8 \times 3}}$
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator of the above fraction.
$ \dfrac{1}{3}$
Therefore, $\dfrac{1}{3}$ of a day is $8$ hours.

Hence, the option C is correct.

Note: Remember the difference between the percentage and the fraction. Percentage is defined as the numerator with the denominator as hundred. Always remember that common factors from the numerator and the denominator cancel each other and therefore be good in finding the factors and finding the simplified form of the equivalent fraction.