Question

Which of the rational fractions given in the options lie between $\frac{3}{7}$ and $\frac{4}{8}$ ?

• A. 9/2
• B. -11/8
• C. -2
• D. 5/8

Answer 1

The correct option is D

5/8

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 $\frac{4}{8}$

Similarly, we can check for other options as well

Thus D is the correct option.