Question

What is $\dfrac{4}{5}$ an equivalent fraction?

Answer 1

Hint: From the question given we have to find the equivalent fraction of $\dfrac{4}{5}$. As we know that the equivalent fraction means it is defined as fractions with different numerators and denominators that represent the same value or proportion of the whole number. To get the equivalent fractions of any fraction we have to multiply the both numerator and denominator with the same number, those all-outcome fractions are the equivalent fraction for the given fraction.

Complete step by step solution:
From the given question we have to find the equivalent fraction for
$\Rightarrow \dfrac{4}{5}$
 As we know that the equivalent fraction means it is defined as fractions with different numerators and denominators that represent the same value or proportion of the whole number.
To get the equivalent fractions of any fraction we have to multiply the both numerator and denominator with the same number, those all-outcome fractions are the equivalent fraction for the given fraction.
From the definition first we will multiply the given fraction numerator and denominator with $1$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{1}{1}=\dfrac{4}{5}$
we will multiply the given fraction numerator and denominator with $2$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{2}{2}=\dfrac{8}{10}$
we will multiply the given fraction numerator and denominator with $3$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{3}{3}=\dfrac{12}{15}$
we will multiply the given fraction numerator and denominator with $4$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{4}{4}=\dfrac{16}{20}$
we will multiply the given fraction numerator and denominator with $5$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{5}{5}=\dfrac{20}{25}$
we will multiply the given fraction numerator and denominator with $6$
By this we will get
$\Rightarrow \dfrac{4}{5}\times \dfrac{6}{6}=\dfrac{24}{30}$
By doing this process we will get the equivalent fractions of $\dfrac{4}{5}$, these are the some of the equivalent fractions of $\dfrac{4}{5}$
$\Rightarrow \dfrac{4}{5}=\dfrac{8}{10}=\dfrac{12}{15}=\dfrac{16}{20}=\dfrac{20}{25}=\dfrac{24}{30}=\cdots $

Note: Students should know the definition of equivalent fraction, students should know that they just look different but they are equal by values for example in the above question if we divide them, they are all equal to $ \dfrac{4}{5}=\dfrac{8}{10}=\dfrac{12}{15}=\dfrac{16}{20}=\dfrac{20}{25}=\dfrac{24}{30}=\cdots =0.8=80\%$. There are infinitely many equivalent fractions for $\dfrac{4}{5}$ .