Question

insert 3 rational numbers between -2/5 and 2/3​

Answer 1

Answer:

We can represent a rational number between two rational numbers a and b as

(a + b)/2

Now, put a = 2/3 and b = 3/5.

Then,

A rational number between 2/3 and 3/5 =

A rational number between 2/3 and 19/30

A rational number between 19/30 and 3/5 =

Hence, three rational numbers between 2/3 and 3/5 are 19/30, 39/60 and 37/60.