# Simplifying Complex Expressions Worksheets

How to Simplify Complex Expressions - A complex rational expression is a rational expression that contains additional rational expressions in the numerator, the denominator, or both. We can simplify complex rational expressions by rewriting the numerator and denominator as single rational expressions and then dividing. The complex rational expression a/(1/a) can be simplified by rewriting the numerator as the 1/a. When simplifying complex fractions, there are different ways that you can choose to simplify the problem. You need to use the Least Common Divisor (LCD) Rule. For this, you have to start from solving the denominator first and then move on to solving the simplified fraction. For such complex fractions, you need to split the expression into two parts. This is the first step of simplifying the complex expression. Now solve it part by part. Firstly, solve the complex part and when it becomes the fraction itself, solve the fraction as it is. It will get easier to solve in this way.

• ### Basic Lesson

Guides students solving equations that involve an Simplifying Complex Expressions. Demonstrates answer checking. Find the least common denominator (LCD) of all fractions appearing within the complex fraction. Here LCD of 4 and 16 is 16. Multiply both the numerator and the denominator of the complex fraction by the LCD of the complex fraction from step 1.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. We follow these steps: 1. Create one single fraction in the numerator and denominator (if necessary). 2. Rewrite the fraction using a division symbol 3. Follow the normal rules for dividing fractions: Invert the second term (the denominator of the complex fraction) and multiply (by the numerator of the complex fraction).

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Simplifying Complex Expressions.

• ### Independent Practice 2

Students find the Simplifying Complex Expressions in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Simplifying Complex Expressions.

• ### Skill Quiz

This tests the students ability to evaluate Simplifying Complex Expressions.