Question

Select the rational numbers which lie between $\frac{2}{5}$ and $\frac{3}{10}$ Use the LCM method.
(A) $\frac{13}{40}$, $\frac{14}{40}$ and $\frac{15}{40}$
(B) $\frac{13}{10}$, $\frac{14}{10}$ and $\frac{15}{10}$
(C) $\frac{13}{20}$, $\frac{14}{20}$ and $\frac{15}{20}$
(D) $\frac{13}{5}$, $\frac{14}{5}$ and $\frac{15}{20}$

Answer 1

Making the denominators equal by Taking the LCM we change the fractions $\frac{2}{5}$ and $\frac{3}{10}$ to $\frac{4}{10}$ and $\frac{3}{10}$. To find three numbers between them, we need to take $n=3+1=4$ and multiply $\frac{n}{n}$ with the fractions.
So, we get two fractions as $\frac{12}{40}$ and $\frac{16}{40}$.
Hence, the three fractions between them are $\frac{13}{40}$, $\frac{14}{40}$ and $\frac{15}{40}$.
So, option B is correct.