Question

Which of the following rational numbers lie betwen $\frac{3}{7}$ and $\frac{4}{8}$ ?

• A. $\frac{9}{2}$
• B. $\frac{26}{56}$
• C. -2
• D. $\frac{13}{28}$

Answer 1

Answer: (B), (D)

$\frac{13}{28}$

L.C.M of 7 and 8 is 56.

$\frac{3}{7}$ and $\frac{4}{8}$ can be written as $\frac{24}{56}$ and $\frac{28}{56}$.

Check for numbers which lie between $\frac{24}{56}$ and $\frac{28}{56}$.

Now, $\frac{13}{28}$ = $\frac{26}{56}$ lies between $\frac{3}{7}$ and $\frac{4}{8}$.