Give two rational numbers lying between 0.1911191119111119 … and 0.21211211121111 … .

We know, The numbers which cannot be expressed in the form of p q , where p and q are integers and q ≠ 0 are called irrational numbers. A number is said to be rational only if its decimal representation is repeated or terminating. Irrational numbers are non – terminating and non – recurring decimals. As we all know between these two irrational numbers there are infinitely many numbers possible some are rational numbers and some are irrational numbers. So, 0 . 192 and 0 . 193 is greater than 0 . 19111911191111119 . . . . . and less than 0 . 21211211121111 . . . . . Therefore, rational numbers 0 . 192 and 0 . 193 are lying between given irrational numbers.