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To solve an equation containing fractions, clear denominators by multiplying each term of the equation by the least common multiple, LCM, of the denominators. Then solve for the variable. Occasionally, a value of the variable that appears to be a solution will make one or more of the denominators zero. If that happens, the equation has no solution for that value of the variable. Exercise: Solve Solution The LCM is X - 5. Multiply each term by X - 5 3X = 5X - 25 - 5 3X = 5X - 30 SIMPLIFY: -2X = -30 X = 15 15 checks as a solution. |