Question

find six rational number between 3 and 4​

Answer 1

3/1

3/2

3/4

3/5

3/7

3/6

six rational number are avobe

Answer 2

Step-by-step explanation:

Since we want six numbers, we write 1 and 2 as rational numbers with denominator 6 + 1 =7

So multiply in numerator and denominator by 7 we get  

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

​