Can an Irrational Number Be Written as a Fraction
No. Full stop. An irrational number cannot be written as a fraction of two integers. That’s literally the definition—it’s in the name, people.
Think of it this way: if you could write it as a fraction, it would be rational. “Irrational” is just the math-world’s way of saying, “I don’t do fractions, darling.”
But hold on—before you roll your eyes, let’s unpack what that actually means. Because the real fun is in the why.