**Find Five
Rational Numbers Between 1 and 2**

To find 5 rational numbers between 1
and 2, write 1 as 10/10 and write 2 as 20/10.

Now, write 5 rational numbers between
10/10 and 20/10.

Five rational numbers between 10/10 and
20/10 are:

11/10, 12/10, 13/10, 14/10, 15/10

These rational numbers lie between 1
and 2.

Thus, five rational numbers between 1
and 2 are 11/10, 12/10, 13/10, 14/10 and 15/10.

**Find Six Rational
Numbers Between 3 and 4**

To find 6 rational numbers between 3
and 4, write 3 as 30/10 and write 4 as 40/10.

Now, write 6 rational numbers between
30/10 and 40/10.

Six rational numbers between 30/10 and
40/10 are:

31/10, 32/10, 33/10, 34/10, 35/10,
36/10

These rational numbers lie between 3
and 4.

Thus, six rational numbers between 1
and 2 are 31/10, 32/10, 33/10, 34/10, 35/10 and 36/10.

**Find Three
Rational Numbers Between -1 and -2**

Let us apply method 1 to find 3
rational numbers between -1 and -2.

A rational number between -1 and -2 is
[-1 + (-2)]/2, i.e., -3/2.

Now, find one rational number between
-1 and -3/2, and another rational number between -3/2 and -2.

A rational number between -1 and -3/2
is [-1 + (-3/2)]/2, i.e., -5/4.

Another rational number between -3/2
and -2 is [(-3/2) + (-2)]/2, i.e., -7/4.

So, three rational numbers between -1
and -2 are -3/2, -5/4 and -7/4.