Question

Write the following rational numbers so that they have same denominator:

$\frac{1}{5},\frac{1}{7}$

Answer 1

Converting given fraction into equivalent fractions.

To convert them in equivalent fraction we have to take the LCM of the denominators.

So, LCM of $5$ and $7$ is $35$.

Now convert the given rational numbers in equivalent fraction with denominator $35$.

$\Rightarrow \frac{1\times 7}{5\times 7}=\frac{7}{35}$ and

$\frac{1\times 5}{7\times 5}=\frac{5}{35}$

Now we can see that $\frac{7}{35}$ and $\frac{5}{35}$ have the same denominator.

Hence, $\frac{1}{5},\frac{1}{7}=\frac{7}{35},\frac{5}{35}$.