How to Simplify Fractional Equations

Equations are an important part of algebra and all upper-level math. Occasionally, these equations are fractional. When solving fractional equations, the key is to get rid of all denominators by multiplying every term in the equation by the least common multiple of the denominators. Then, you can solve the equation much more easily.

Instructions

    • 1

      Multiply all terms in the equation by a number that divides all of the denominators. For instance, in the equation (x/3) - (2x/5) = -7/15, the number 15 will divide all three denominators (3, 5 and 15) with no remainder. Multiplying both sides of the equation by 15 yields 5x - 6x = -7.

    • 2

      Combine all x terms to obtain -x = -7.

    • 3

      Simplify the equation further, to obtain x alone. Here, you would multiply both sides of the equation by -1 to find that x = 7.

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