Rational Approximation

Rational approximation involves representing a complex mathematical value—like an irrational number—with a ratio of two simple integers (a fraction). Instead of using a long decimal or complicated expression, this method finds a fraction that closely matches the original number within a tiny margin of error. It is useful for simplifying calculations, computer algorithms, or understanding properties of numbers. Essentially, rational approximation seeks the best fraction that approximates a real number while remaining easy to work with mathematically.