Mathematics
Rational Approximations to Real Numbers via Continued Fractions
Quick fact
The continued fraction expansion of any real number provides the best rational approximations possible: each convergent is closer than any other fraction with a smaller or equal denominator.
Why this is interesting
You know 22/7 is close to π, but what if I told you there's a truly optimal way to find such fractions—and it's linked to how numbers are built?