 Hi and how are you all today? Let us start with the question which is given to us. Look at several examples of fractional number in the form P by Q where P and Q are integers with no common factor other than 1 and having terminating decimal representations expansion. Can you guess what property of Q must satisfy? So let us start with our solution in which first of all we need to have examples of fractional number in the form of P by Q where P by Q are integers having no common factor other than 1. So that will be like it can be 9 by 25 as one of the examples. The second example can be 33 by 8. If we satisfy that these both are integers having no other common factor other than 1 then we can have one more example that will be 329 by 400. After looking at these examples we can guess the property of Q that must satisfy that is that the prime factorization of Q has only powers of 2 or powers of 5 or both. As we can see 25 has the prime factorization of Q as a power of 5 only whereas 8 have only 2 but 400 has both the powers of 2 as well as of 5. So this condition must be satisfied in order to have a terminating decimal representation. So I hope you enjoyed the session and a little bit of thinking also went for thinking the examples also. So I hope you will enjoy the other sessions also. Bye for now.