Fractional Equations

Fractional Equations How About Having Some Fun With Your Fractional Equations? If you’re looking for a fast, easy, and legitimate way to do fractional equations in math, read the below lesson carefully:   A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can have one or more variables. Linear equations occur with great regularity in applied math. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some “background” state in math, such as this fractional equations.

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 three examples of fractional equations: Fractional equations are solved using the same axioms and approach used for other algebraic equations. However, the initial step is to remove the equation from fractional form. This is done by determining the lowest common denominator (LCD) for all of the fractions in the equation and then multiplying both sides of the equation by this common denominator. This will clear the equation of fractions.   Example 1: Solve the fractional equation Solution: Multiply both sides of the equation by the LCD (x). Now solve the equation like an ordinary linear equation. Step 1. Transpose the +8 from the left-hand to the right and side of the equation by changing its sign.   Step 2. Using Axiom 4, divide both sides of the equation by 8.   Step 3. Check the root.   Example 2: Solve the fractional equation   Solution: The LCD is (x – 2)(x + 3); therefore, multiply both sides of the equation by (x -2)(x + 3).   Now solve the equation like an ordinary linear equation. Step 1. Transpose the +1 from the left-hand to the right-hand side of the equation by changing its sign.   Step 2. Using Axiom 4, divide both sides of the equation by 2.   Step 3. Check the root.

Check For More Linear Equations Lesson  At Kids Math Blog Here.