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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The LCD of two fractions is the same as the LCM of their denominators.
If those are both denominators, multiply their fractions by 10/10 to get rid of the decimal points. The LCD of 35 and 14 is 70. Convert them to equivalent fractions with a denominator of 70.
Multiply them together.
If 16 and 19 are denominators, their LCD is 304. If that's 1/6 and 1/9, the LCD is 18.
The LCM of these numbers is 198. (LCD is just the LCM of the denominators of fractions.)