Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

Slides:

Advertisements

Similar presentations

Rational Expressions and Functions; Multiplying and Dividing A rational expression or algebraic fraction, is the quotient of two polynomials, again.

Advertisements

Pre-Calculus Notes §3.7 Rational Functions. Excluded Number: A number that must be excluded from the domain of a function because it makes the denominator.

Operations on Rational Expressions Digital Lesson.

12-3/12-4 Multiplying/Divi ding Rational Expressions SWBAT: Multiply/Divide Rational Expressions Use Dimensional Analysis with Multiplication.

Simplifying Rational Expressions.

Multiplying & Dividing Rational Expressions. Simplified form of a rational expression - Means the numerator and denominator have NO common factors. To.

Lesson 8-1: Multiplying and Dividing Rational Expressions

In multiplying rational expressions, we use the following rule: Dividing by a rational expression is the same as multiplying by its reciprocal. 5.2 Multiplying.

Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,

Section R5: Rational Expressions

R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.

Chapter 9: Rational Expressions Section 9-1: Multiplying and Dividing Rationals 1.A Rational Expression is a ratio of two polynomial expressions. (fraction)

9.1 Multiplying and Dividing Rational Expressions ©2001 by R. Villar All Rights Reserved.

Section 8.2: Multiplying and Dividing Rational Expressions.

Factor Each Expression Section 8.4 Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient.

Section 9-3a Multiplying and Dividing Rational Expressions.

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

Operations on Rational Expressions. Rational expressions are fractions in which the numerator and denominator are polynomials and the denominator does.

Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.

MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.

Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.

§ 7.2 Multiplying and Dividing Rational Expressions.

11.4 Multiply and Divide Rational Expressions. SIMPLIFYING RATIONAL EXPRESSIONS Step 1: Factor numerator and denominator “when in doubt, write it out!!”

Divide Whole Numbers by Fractions 4.6 p The denominator becomes the numerator. The numerator becomes the denominator. The fraction is “flipped”

Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.

Simplify, Multiply & Divide Rational Expressions.

Multiplying AND DIVIDING RATIONAL EXPRESSIONS. Review: Multiplying fractions.

Algebra 11-3 and Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.

8.4 Multiply and Divide Rational Expressions

To simplify a rational expression, divide the numerator and the denominator by a common factor. You are done when you can no longer divide them by a common.

9.1 Simplifying Rational Expressions Objectives 1. simplify rational expressions. 2. simplify complex fractions.

Section 6.2 Multiplication and Division. Multiplying Rational Expressions 1) Multiply their numerators and denominators (Do not FOIL or multiply out the.

Welcome to Algebra 2 Rational Equations: What do fractions have to do with it?

3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

Multiply and Divide Fractions and Decimals. Mixed Numbers, Improper Fractions, and Reciprocals Mixed Number: A number made up of a fraction and a whole.

Simplifying. Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient of two integers. A rational.

Simplifying Rational Expressions.

Operations on Rational algebraic expression

How do we multiply and divide Rational Expressions?

AIM: How do we simplify, multiply and divide rational expressions?

6.8 Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Multiplying and Dividing Fractions

Simplify each expression. Assume all variables are nonzero.

8.1 Multiplying and Dividing Rational Expressions

2.6 Multiplying and Dividing Rational Expressions

Rational expressions 8.11.

Multiplying and Dividing Rational Expressions

Operations on Rational Expressions

Multiplying and Dividing Rational Expressions

Without a calculator, simplify the expressions:

Look for common factors.

Mult/Divide Rational Expressions

Simplifying Rational Expressions.

Warm-Up (Fractions) Calculator Free. [1] [2] [3] [4]

Algebra Section 11-1 : Rational Expressions and Functions

Simplifying Rational Expressions.

Simplifying rational expressions

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions

Which fraction is the same as ?

6.6 Simplifying Rational Expressions

SLOT Week 11 – Day 1.

Unit 3: Rational Expressions Dr. Shildneck September 2014

Concept 5 Rational expressions.

10.3 Dividing Rational Expressions

Presentation transcript:

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY

Rational expressions are fractions in which the numerator and denominator are polynomials and the denominator does not equal zero. Example: Simplify, x – 3  0, x  3

1. FACTOR the numerator and denominator of each fraction. 3. Multiply what is left in the numerators and denominators of each fraction, and simplify. **Most of the time, we will leave both the numerator and denominator in factored form! To multiply rational expressions: 2. Cancel out any common factors FIRST.

Factor the numerator and denominator of each fraction. MultiplyExample: Multiply and simplify. Cancel out any common factors.

1. Multiply the dividend by the reciprocal of the divisor. The reciprocal of is. **Same process as multiplication, except you have to flip the second expression first! To divide rational expressions:

Example: Divide Multiply by the reciprocal of the divisor. Multiply and simplify. Factor the numerator and denominator of each fraction.