Question

Write a fraction equivalent to $\dfrac{1}{8}$.

Answer 1

Hint: In this question, the numerator of the given fraction is $1$ and the denominator is equal to $8$ and we have to find five equivalent fractions. When the numerator and the denominator are in the form of prime factors and don’t have any common factor, the fraction is said to be simplified. We can find an equivalent fraction by multiplying or dividing the numerator and denominator of the fraction by the same number.

Complete answer:
So, we have to find an equivalent fraction of the fraction $\dfrac{1}{8}$.
So, we have to multiply the given fraction $\dfrac{1}{8}$ with a number or an expression such that the value of the fraction remains unchanged. As we have to find one fractions equivalent to the given fraction $\dfrac{1}{8}$, we would have to multiply the numerator and denominator of the fraction with a single number.
So, we have, $\dfrac{1}{8}$.
We multiply the numerator and denominator of $\dfrac{1}{8}$ by $3$. So, we get,
$ \Rightarrow \dfrac{1}{8} \times \dfrac{3}{3}$
Simplifying the multiplication in the numerator and denominator, we get,
$ \Rightarrow \dfrac{3}{{24}}$
Hence, the required equivalent fraction of the given fraction $\dfrac{1}{8}$ is: $\dfrac{3}{{24}}$

Note:
Equivalent fractions are the fractions that have different numerator and denominator but are equal to the same value. We should always multiply the numerator and denominator with the same number or entity so as to keep the fraction unchanged. The number by which the numerator and denominator are multiplied should be greater than the number of equivalent fraction to be found so that the process becomes easier.