No mathematician thinks that 1/3 = 0.3333. That is your own misunderstanding. Even if I give you the benefit of implying $\frac{1}{3} = 0.\overline{3}$, you're still confusing things in that $0.\overline{3}$ is just a representation of $\frac{1}{3}$ in decimal form. There are uncountably many ways to represent $\frac{1}{3}$, where the decimal representation $0.\overline{3}$ is just one of them. This is nothing to lose sleep over.Ok let me straighten this out.

For me itâ€™s about curiosity. The recurring decimal is the itch that I can never quite scratch. It frequents my dreams and invades my meditations. Itâ€™s the blot on my copy book, the fly in the ointment, the Ringo to my Paul McCartney.

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I just cannot sate the feeling that the mathematics that underpins so many of the foundations on which we build our lives, so harmoniously accepts this troublesome and unsolvable conundrum. 1/3 isnâ€™t 0.3333.