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,
Rational number between 2/3 and 3/5 = ![]()
Rational number between 2/3 and 19/30 ![]()
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.
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