Question

the three rational number between 3 and 4 are:
a )15 /2 , 6 /2, 7 /2
b )13/ 4 , 14 /4 , 15/ 4
c )12/ 7 , 13/ 7 , 14/ 7
d) 11 /4 , 12/ 4 , 13/ 4​

Answer 1

Answer:

13/4;7/2 and 15/4 are the three rational number lying between 3 and 4

Answer 2

Answer:

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.

Then, 3 < 7/2 < 4

A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)

= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4

A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)

= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4

Therefore, 3 < 13/4 < 7/2 < 15/4 < 4

Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.