How many rational numbers are there between any two non equal rational numbers ?
Answer:
Infinite
- Rational Number: A rational number is a number that can be expressed in
form where p and q are integers and q is not equal to zero.p q - For example: There are multiple rational numbers between
and2 3
.3 2
Lets mutiply numerator and denominator of first fraction by 200 and that of second by 300.
Thus the new fractions become :
and400 600
.900 600
As you can see, there are 500 fractions between the two fractions. Simiary if we multiply/divide them with bigger numbers, we can get even more rational numbers. - Therefore, there are Infinite rational numbers between any two non equal rational numbers.