Question

Find the equivalent fraction of $ 3/5 $ having (i) denominator $ 30 $ (ii) numerator $ 24 $

Answer 1

Hint: The equivalent fraction is the fraction which has the same value but looks very different with the different numerator and the denominator. Since, the fractions have same value they are called equivalent fractions. Here we are given one fraction and to find the equivalent fraction with the condition to have the specific denominator. So, we will find the multiples of the given denominator for the required denominator.

Complete step-by-step answer:
Given fraction: $ \dfrac{3}{5} $
I.Required equivalent fraction with Denominator $ 30 $
First the given denominator is $ 5 $ , so to make it $ 30 $ we have to multiply the $ 5{\text{ with 6}} $ .
 $ \Rightarrow \dfrac{3}{5} = \dfrac{3}{5} \times \dfrac{6}{6} $
 $ 6 $ is multiplied both in denominator and numerator by the law of mathematics.
Now, the resultant equivalent fraction is
 $ \Rightarrow \dfrac{3}{5} = \dfrac{{18}}{{30}} $

II.equivalent fraction of $ 3/5 $ having numerator $ 24 $
First the given numerator is $ 3 $ , so to make it $ 24 $ we have to multiply the $ {\text{3 with 8}} $ .
 $ \Rightarrow \dfrac{3}{5} = \dfrac{3}{5} \times \dfrac{8}{8} $
 $ 8 $ is multiplied both in denominator and numerator by the law of mathematics
Now, the resultant equivalent fraction is
 $ \Rightarrow \dfrac{3}{5} = \dfrac{{24}}{{40}} $

Note: The fraction is in the form of numerator and the denominator in which both the numerator and the denominator are the natural numbers. Always remember the multiplicative tables at least till $ 20 $ for direct substitution. The basic application of mathematical properties should be done carefully. Else, you have to do multiples till the required specific number.