Algebra Tutorials! Tuesday 11th of December

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 Dependent Variable

 Number of inequalities to solve: 23456789
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## Simplifying Complex Fractions

Here is a method for simplifying complex fractions.

Procedure

To Simplify a Complex Fraction

Step 1 Find the LCD of the fractions contained in the complex fraction.

Step 2 Multiply the numerator and denominator of the complex fraction by the LCD.

Step 3 Simplify.

Example

Simplify:
 Solution Step 1 Find the LCD of the fractions contained in the complex fraction. Factor x2 - 5x. The LCD is x(x - 5). Step 2 Multiply the numerator and denominator of the complex fraction by the LCD. Step 3 Simplify. Distribute x(x - 5) in the denominator. Cancel pairs of common factors in the numerator and in the denominator. = Simplify.

So, the result is .

Note:

We are multiplying both the numerator and denominator by the same number, x(x - 5). This means that we are multiplying the complex fraction by 1 in the form .