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Ex: 3/a + 4/b = 7, LCD is ab

ab x (3/a) + ab x (4/b) = ab x 7

3b + 4a = 7ab so that the denominators have cancelled.

a and b can represent binomials, monomials, polynomials, etc.

EX: 3/(x+2) + 4/(x-5) = 7 multiply by ab = (x+2)(x-5)

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When they are relatively prime, that is, when their GCF is 1.

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12y ago
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Q: When can you multiply the denominators to find the LCD?
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