1. Introduction: You Already Know More Than You Think
You have been working with fractions since Class 6. You know that 1/2 = 0.5 and 1/3 = 0.333... repeating forever.
But have you ever wondered — why does 1/2 give a clean decimal while 1/3 does not?
Is there a way to predict, just by looking at the fraction, whether it will terminate or go on forever?
That is exactly what this section is about. And the answer ties directly back to the Fundamental Theorem of Arithmetic you studied in Section 1.2.