Step 1: Multiply the numerator and denominator of the overall complex fractions by the LCD of the smaller fractions. Step 2: If needed, simplify the rational expression. Step 1: Multiply the numerator and denominator of the overall complex fractions by the LCD of the smaller fractions.

How To: Given a complex rational expression, simplify it.

1. Combine the expressions in the numerator into a single rational expression by adding or subtracting.
2. Combine the expressions in the denominator into a single rational expression by adding or subtracting.
3. Rewrite as the numerator divided by the denominator.

Simplify a complex rational expression by writing it as division. Simplify the numerator and denominator. Rewrite the complex rational expression as a division problem. Divide the expressions.

1. Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction.
2. Step 2: Divide the numerator by the denominator.
3. Step 3: If needed, simplify the rational expression.
4. Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction.

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

The first step in simplifying a rational expression is to determine the domain, the set of all possible values of the variables. The denominator in a fraction cannot be zero because division by zero is undefined.

1. Solution:
2. Step 1: Factor all denominators and determine the LCD.
3. Step 2: Identify the restrictions. In this case, they are x≠−2 x ≠ − 2 and x≠−3 x ≠ − 3 .
4. Step 3: Multiply both sides of the equation by the LCD.
5. Step 4: Solve the resulting equation.
6. Step 5: Check for extraneous solutions.

Or in other words, it is a fraction whose numerator and denominator are polynomials. These are examples of rational expressions: x1. x + 5 x 2 − 4 x + 4 /dfrac{x+5}{x^2-4x+4} x2−4x+4x+5.

An algebraic expression where both the numerator and the denominator are polynomials e.g. is called a rational expression. Since the denominator can’t be zero there are values of x which are excluded from the rational expression. The expression above has an excluded value of zero.

An irrational algebraic expression is one that is not rational, such as √x + 4.

The 5 Steps of Problem Solving

• A “Real World” Math Drama.
• Step #1: Stop and Think Before Doing Anything.
• Step #2: English-to-Equation Translation.
• Step #3: Solve for Whatever You’re Interested In.
• Step #4: Make Sure You Understand the Result.
• Step #5: Use Your Result to Solve Other Problems.
• Wrap Up.

Do unto one side of the equation, what you do to the other! An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the ‘scale’ (or equation) balanced so that both sides are ALWAYS equal.

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division.

In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.

After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

A General Rule for Solving Equations

• Simplify each side of the equation by removing parentheses and combining like terms.
• Use addition or subtraction to isolate the variable term on one side of the equation.
• Use multiplication or division to solve for the variable.

The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them.

Division, Multiplication, Addition and Subtraction (DMAS) is the elementary rule for the order of operation of the Binary operations. DMAS, a nice tool but has less convincing/appealing to admit its order of operation.

Mathematicians agreed upon certain rules for solving math, called the order of operations. Grouping symbols come first. If there is more than one grouping symbol they go in this order: parentheses, brackets, braces. Exponents come next.

When you complete a mathematical number sentence involving several different operations then BODMAS helps you to know which order to complete them in. Anything in Brackets should be completed first, then the orders, followed by any division or multiplication and finally addition or subtraction.