There are _______ rational numbers between any two rational numbers
Answer: As you know, multiplying the numerator and denominator of a rational number by the same number does not change the value. This property allows you to insert any number of rational numbers between two rational numbers.
For example, if you have two rational numbers such as 1/10 and 9/10
So, you can easily insert 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10
And if we change the numerator and denominator
1/10 = 10/100
9/10 = 90/100
Therefore, you can insert rational numbers 11/100, 12/100, 13/100, 14/100, 15/100, 16/100, ……….,89/100 between them
By repeating the process, we can conclude that there are infinite rational numbers between any two rational numbers.