Question

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

• A. $\frac{9}{2}$
• B. $\frac{-11}{8}$
• C. -2
• D. $\frac{13}{28}$

Answer 1

The correct option is D $\frac{13}{28}$

To find the solution, first, we need to find the L.C.M of 7 and 8 (denominators).
L.C.M of 7 and 8 is 56.

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

Checking for numbers which lie between $\frac{24}{56}$ and $\frac{28}{56}$,

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