Question

insert 4 rational no. between 5/6 and 7/​12

Answer 1

$\frac{5}{6}$ x $\frac{2}{2}$ , $\frac{7}{12}$

= $\frac{10}{12}$ x $\frac{10}{10}$ , $\frac{7}{12}$ x $\frac{10}{10}$

=$\frac{100}{120}$ , $\frac{70}{120}$

Now you can take any 5 numbers

Answer 2

Solution:

First rational no

$\frac{1}{2} \times ( \frac{5}{6} + \frac{7}{12} )$

$= > \: \frac{1}{2} \times \frac{10 + 7}{12}$

[ lcm of both the no is 12]

$= > \: \frac{1}{2} \times \frac{17}{12 }$

$= > \frac{17}{24}$

Second rational no

$\frac{1}{2} \times ( \frac{5}{6} + \frac{17}{24} )$

$= > \: \frac{1}{2} \times \frac{20 + 17}{24}$.

[ lcm of both the no is 24]

$= > \: \frac{1}{2} \times \frac{37}{24 }$

$= > \frac{27}{48}$

Third rational no

$\frac{1}{2} \times ( \frac{17}{24} + \frac{7}{12} )$

$= > \: \frac{1}{2} \times \frac{17 + 14}{24}$.

[ lcm of both the no is 24]

$= > \: \frac{1}{2} \times \frac{31}{24}$

$= > \frac{31}{48}$

Forth rational no

$\frac{1}{2} \times ( \frac{17}{24} + \frac{37}{48} )$

$= > \: \frac{1}{2} \times \frac{34 + 37}{48}$.

[ lcm of both the no is 48]

$= > \: \frac{1}{2} \times \frac{71}{48 }$

$= > \frac{71}{96}$