Question

Find six rational numbers between 3 and 4 .explain please

Answer 1

First Rational Number,

(3+4)/2 = 7/2 
_____________

Second Rational Number,

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

$\frac{ \frac{6 + 7 }{2} }{2}$

$\frac{ \frac{13}{2} }{2}$

$\frac{13}{4}$
______________

Third rational number,

$\frac{4 + \frac{7}{2} }{2}$

$\frac{ \frac{15}{2} }{2}$

$\frac{15}{4}$
__________________________

Fourth Rational number,


$\frac{ \frac{7}{2} + \frac{15}{4} }{2}$

$\frac{ \frac{14+ 15}{4} }{2}$


$\frac{ \frac{29}{4} }{2}$

$\frac{29}{8}$
_____________________________

Fifth Rational Number,

$\frac{ \frac{29}{8} + \frac{7}{2} }{2}$

$\frac{ \frac{29 + 28}{8} }{2}$

$\frac{ \frac{57}{8} }{2}$

$\frac{57}{16}$

_______________________


Sixth Rational Number,

$\frac{ \frac{57}{16} + \frac{29}{8} }{2}$

$\frac{ \frac{57 + 58}{16} }{2}$

$\frac{ \frac{115}{16} }{2}$

$\frac{115}{32}$
______________________




i hope this will help you




-by ABHAY