> we were always taught that fractions are the "real" representation of rational numbers There is no "real" representation of rational numbers, and fractions a

> we were always taught that fractions are the "real" representation of rational numbers There is no "real" representation of rational numbers, and fractions are no more real—or fake—than decimals. > And there simply is no number whose notation would be 0.999... There is, though. It's 1.