How to Balance an Equation With Fractions


Balancing equations, which is a crucial part of Algebra I, involves solving linear equations by adding, subtracting, multiplying or dividing the same quantity to or by both sides of the equation. Balancing equations becomes particularly important when you are working with equations that contain fractions, in which you have to eliminate the fractions to solve for x. In these cases, the basic precepts of balancing equations still apply.

  • Isolate x on one side of the equation. If you have 2x/5-3/2=8/3, add 3/2 to both sides of the equation to obtain 2x/5=(8/3+3/2), or 2x/5=25/6.

  • Multiply both sides of the equation by the denominator of the x-term, to obtain 2x=25*5/6.

  • Divide both sides of the equation by the coefficient of the x term, 2. You get x=25*5/12.

  • Use a calculator to resolve the value of x, which is equal to 125/12, or 10.4.


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