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The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

Learn how to solve rational equations problems step by step online.

$L.C.M.=a^2b^2$

Learn how to solve rational equations problems step by step online. Solve the rational equation (x^2)/(a^2)+(y^2)/(b^2)=1. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Combine and simplify all terms in the same fraction with common denominator a^2b^2. Multiply both sides of the equation by a^2b^2.

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