Solving Fractional Equations

A fractional equation is an equation containing a fraction. The fraction can be either a common fraction or a decimal fraction. The unknowns can occupy any position in the equation. They may or may not be part of the fraction. If they are part of the fraction, they can be either in the numerator or the denominator. The following are two examples of fractional equations:








Fractional equations are solved using the same axioms and approach used for other algebraic equations. However, these steps must be followed.

1) Remove the equation from fractional form.

2) Determine the lowest common denominator (LCD) for all of the fractions in the equation

3) Multiply both sides of the equation by this common denominator. This procedure will clear the equation of fractions.

4) Solve the equation.

Example

Solve the fractional equation: