Question

find 5 rational numbers between 2 and 6​

Answer 1

Answer:

2×10=20

6×10=60

the rational number between 20 and 60is 25,30,35,40,45

therefore rational number between 2 and 6 is 2.5,3,3.5,4,4.5

Answer 2

Answer:

4, 3, 5/2, 4.5/2, 8.5/4.

Step-by-step explanation:

The rational numbers between 2 and 5.

A rational number is a number represented in the form of p/q where q not equal to zero and p and q are co-primes.

∴ To insert a rational number between p and q we can use the formula p+q/2.

⇒ (2+6)/2 = 4

   (2 + 4)/2 = 3

   (2 + 3)/2 = 5/2 or 2.5

   (2 + 5/2)/2 = 4.5/2 or 2.25

   (2 + 4.5/2)/2 = 8.5/4 or 2.125

∴ The 5 rational numbers between 2 and 6 are 4, 3, 5/2, 4.5/2, 8.5/4.