Question

What fraction of a day is $8\text{hours}$?

Answer 1

Step 1: Write the fraction

A fraction that represents a part of a whole is written as: $\frac{\text{The number of parts taken out}}{\text{The total number of parts}}$

We know that, $1\text{day}$ $=24\text{hours}$

So, a fraction that represents $8\text{hours}$ out of $24\text{hours}$ can be written as: $\frac{8}{24}$

Step 2: Simplify the fraction

Let's simplify the fraction: $\frac{8}{24}$

The Highest Common Factor of $8$ and $24$ is $8$.

On dividing both the numerator and denominator with $8$, we get : $\frac{8÷8}{24÷8}=\frac{1}{3}$

Hence, $8\text{hours}$ is $\frac{1}{3}$ of a day.