 Hello friends, welcome to the session I am Alka. Today we are going to discuss the problem without actually performing the long division state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. So our question is 15 upon 1600. So here we see q equal to 1600 on having factors of 1600 we see q equal to 2 to the power 6 and 5 to the power 2. Here we see q is in the form of 2 to the power n and 5 to the power m. This implies that the rational number 15 upon 1600 is terminating. So hope you understood the question and enjoyed the session. Bye bye and take care.