 Hello friends, welcome to the session and welcome, we are going to discuss real numbers. Our given question is without actually performing the long division, say whether the four line rational numbers will have a repeat terminating decimal expansion or a non-terminating repeating decimal expansion. Our given problem is 29 upon 343. Let's start with the solution. We are given that x equal to 29 upon 343 and q equal to 343. Now we find the factors of q where q equal to 7 into 7 into 7. This implies that q is not equal to 2 to the power n and 5 to the power m. This implies x has a non-terminating repeating decimal expansion. Hope you understood the solution. I will enjoy the session. Goodbye and take care.