Leetcode Problem 972. Equal Rational Numbers
972. Equal Rational Numbers
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Leetcode Solutions
Fraction Representation and Comparison
Solution Idea
Algorithm Steps
Code Implementation
Complexity Analysis
Define a function to parse the string and convert it into a fraction.
Split the string into integer, non-repeating, and repeating parts.
Convert the integer part directly to a fraction.
Convert the non-repeating part to a fraction by dividing by the appropriate power of 10.
Convert the repeating part to a fraction using the geometric series sum formula.
Combine the integer, non-repeating, and repeating parts into a single fraction.
Simplify the fraction to its lowest terms.
Repeat the process for both input strings.
Compare the two fractions for equality by cross-multiplying.
Return
true
if the fractions are equal, otherwise return
false
.
Decimal Expansion and Comparison
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