Question

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

Answer 1

Throught Simple Multiplication method , the answer is given

Answer 2

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

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

so,

using this method,

$= \frac{ \frac{3}{7} + \frac{2}{3} }{2}$

now, we will take LCM ,

$= \frac{ \frac{9 + 14}{21} }{2}$

also, if any equation is in this form:

$\frac{ \frac{x}{y} }{z}$

then,it forms this equation,

$= \frac{x}{y} \times \frac{1}{z}$

so,

$= \frac{23}{21} \times \frac{1}{2}$

$= \frac{23}{42}$

hope you understood!