Question

The rational number lies between 3/7 and 2/3is

Answer 1

to find a rational number between two fractions, we use this method :-

$\frac{ \frac{x}{y} + \frac{a}{b} }{2}$

so,

using this method,


$= \frac{ \frac{3}{7} + \frac{2}{3} }{2} \\ \\ = \frac{ \frac{9 + 14}{21} }{2} \\ \\ = \frac{23}{21} \times \frac{1}{2} \\ \\ = \frac{23}{42}$