Question

What are two equivalent fractions for $\dfrac{2}{15}$?

Answer 1

Hint: For solving this question you should know about the equivalent fractions. We can determine the equivalent fractions by just calculating the multiplication of the same fraction with the fraction or we can say that by taking the square, cube or so on we can calculate the equivalent fraction or we can also calculate it by multiplying with the fraction of the same numerator and denominator.

Complete step by step solution:
 According to our question we have to calculate the equivalent fraction for $\dfrac{2}{15}$. It means we have to determine the fraction which will be equal to $\dfrac{2}{15}$ if we divide or multiply them by a fraction of the same numerator and denominator. So, as we can see that the equivalent fractions of any fraction will be equal to the fraction which will be of the same ratio of the original fraction or main fraction. We can say that we will multiply to our main fraction with various forms of 1 which will modify the numerator and denominator of a fraction. However, because we are multiplying by 1 which will not change the fraction.
So, if we look at our question, then we have to calculate the equivalent fraction for $\dfrac{2}{15}$. For getting an equivalent fraction of $\dfrac{2}{15}$, we will calculate it by any form of 1.
If we multiply it by $\dfrac{10}{10}$, which is equal to 1, then we get,
$\dfrac{2}{15}\times \dfrac{10}{10}=\dfrac{20}{150}$
If we multiply it by $\dfrac{2}{2}$, then we get,
$\dfrac{2}{15}\times \dfrac{2}{2}=\dfrac{4}{30}$

So, these, $\dfrac{20}{150},\dfrac{4}{30}$ are the two equivalent fractions of $\dfrac{2}{15}$.

Note: For calculating the equivalent fraction we can take both positive and negative numbers, but it is mandatory that both are the same numbers with the same sign and this is always in a form of 1. And if we divide by the same fraction then we should get our original fraction.