Question

What is equivalent to $\dfrac{4}{5}$ ?

Answer 1

Hint: Two fractions are said to be equivalent when we can reduce one fraction to another by dividing the numerator and denominator by a common factor. To find the equivalent of a given fraction, multiply the denominator and the numerator of the given fraction be a specific number to get the equivalent fraction.

Complete step by step solution:
An equivalent fraction in mathematics can be described as the fractions with different numerators or denominators that represent the same proportion of a whole.
On reducing equivalent fractions by cancelling the numerators and denominators by their greatest common factor we get the same fractions.
A fraction $\dfrac{x}{y}$ can be said to be equal to another fraction $\dfrac{a}{b}$ if and only if there exists a value $k$ such that $a=kx$ and $b=ky$
The fraction given is $\dfrac{4}{5}$
We have to find the equivalent fraction for the given fraction.
To find the equivalent fraction, multiply the given fraction’s denominator and numerator by the same number.
So, let us multiply the given fraction by any number, say, $2$ to get
$\Rightarrow \dfrac{4}{5}\times \dfrac{2}{2}=\dfrac{8}{10}$
So, the fraction we get after multiplying the given fraction with $2$ we get the equivalent fraction as $\dfrac{8}{10}$
Therefore, the equivalent of $\dfrac{4}{5}$ is $\dfrac{8}{10}$

Note: So, we can say that equivalent fractions are those types of fractions that may look different but gives us the same value at last after simplification.
To check if two given fractions are equivalent or not, simply reduce the fractions to their lowest forms and then compare them If they reduce to the same fraction, then the given fractions will be equivalent fractions.