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Solution: Equal Rational Numbers

Understand how to compare two rational numbers represented as strings, including those with repeating decimal parts. Learn to convert these strings into exact fractions, reduce them, and determine equality efficiently using algebraic methods and fraction reduction.

Statement

Given two strings s and t, each representing a non negative rational number, return true if and only if they represent the same number. The strings may use parentheses to denote the repeating part of the rational number.

A rational number can be represented using up to three parts: <IntegerPart>, <NonRepeatingPart>, and <RepeatingPart>. The number will be expressed in one of the following three formats:

  • <IntegerPart>

    • For example, 1212 ...