Question

Insert two rational numbers between 3/8 and 7/12

Answer 1

Hiii friend,

Let X =3/8 and Y = 7/12


Clearly N = 2

D = Y-X/N+1


=> 7/12 - 3/8
____________. => 7 × 2 - 3 × 3/24 ÷ 3
2+1

=> 14 - 9/24 /3

=> 5/24/3

=> 5/24 × 1/3 => 5/72


Therefore,

Required rational Numbers between 3/8 and 7/12 are:


X + D , X+2D


=> 3/8 + 5/72 , 3/8 + 2 × 5/72

=> 3 × 9 + 5 × 1 , 3/8 + 5/36
____________
******** 72.


=> 27 + 5/72 , 3× 9 + 5 × 2/72


=> 32/72 , 27+10/72

=> 4/9 , 37/72




HOPE IT WILL HELP YOU....... :-)