Question

What is an equivalent fraction of $\dfrac{5}{8}$ ?

Answer 1

Hint: To solve this question we need to know the concept of fraction. To solve this question the operation on fraction, like multiplication, division, addition and subtraction should be known. Here, we have to multiply and divide the given fraction by the same number to get an equivalent fraction.

Complete step by step solution:
The question here is to find the equivalent fraction for $\dfrac{5}{8}$ . The equivalent fraction of a certain fraction refers to the fraction having different numerator and denominator, but when brought in its lowest term gives the same value. The first step to find the equivalent fraction is to:
Multiply the numerator and denominator with the same number.
The number which is being multiplied could be anything, expect 0. This is done because the number else would become undefined$\left( \dfrac{0}{0} \right)$.
In this question we would multiply the numerator and denominator with $2$ . On doing this we get:
$\Rightarrow \dfrac{5\times 2}{8\times 2}=\dfrac{10}{16}$
Multiplying the terms in numerator and denominator respectively, we get
$\Rightarrow \dfrac{10}{16}$

$\therefore $ One of the equivalent fraction of $\dfrac{5}{8}$ is $\dfrac{10}{16}$.

Note: To find the equivalent fraction of a given fraction the numerator and denominator of that fraction can even be multiplied with a negative integer. But one thing that needs to be kept in mind is the number should be the same which is being multiplied in numerator and denominator.
We can check whether the answer we got is right or wrong. For this we need to bring the number to its lowest form, So on doing so with $\dfrac{10}{16}$ we get :
$\Rightarrow \dfrac{10}{16}=\dfrac{5}{8}$
When both the numerator and denominator is divided by $2$ , we get the above value which is $\dfrac{5}{8}$.