Question

Are $\dfrac{10}{25}$ and $\dfrac{25}{10}$ equivalent fractions?

Answer 1

Hint: In the given question we are given two fractions. From the given two fractions we need to identify whether the given two fractions are equivalent fractions or not. Now, in order to check this initially we need to simplify the given fractions and then compare their values.

Complete step by step answer:
According to the given question, we are having two fractions $\dfrac{10}{25}$and $\dfrac{25}{10}$.
Now, we know that by equivalent fractions we mean that the numerator and denominator of fractions are different but after simplifying the fractions the value attained would be the same.
Now, from this we can say that the proportional value of the fraction remains the same. In order to make the equivalent fraction of the two given fractions we can simply multiply and divide the numerator and denominator of the fraction with a number such that the value of both the fractions remains same.
So, simplifying the given two fractions of the question, for the first fraction which is $\dfrac{10}{25}$the simplified form is $\dfrac{2}{5}$ and the simplified form of another fraction is $\dfrac{5}{2}$ .
Therefore, we can say that the values of the given two fractions are not the same. Hence, the two fractions are not equivalent.

Note: In these types of questions, we need to remember that simplifying the given fractions is our first step. Also, we need to take care that we don’t miss any calculation step and hence don’t forget to compare the simplified attained values of the fractions.