Unit 3: Rational Expressions Dr. Shildneck September 2014

Slides:

Advertisements

Similar presentations

10-10 Complex Rational Expressions Standard 13.0 Standard 13.0 One Key Term One Key Term.

Advertisements

Complex Rational Expressions

6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.

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.

Equivalent Rational Expressions Example 1: When we multiply both the numerator and the denominator of a rational number by the same non-zero value, we.

Changing Percents to a Fraction #3 To change a percent to a fraction you need to first write the numerator over 100. Next simplify the fraction.

Complex Fractions and Unit Rate. Fractions like Complex fractions are called complex fractions. Complex fractions are fractions with a numerator, denominator,

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

COLLEGE ALGEBRA P.5 – Rational Expressions P.6 – Complex Numbers.

9.5 Addition, Subtraction, and Complex Fractions Do Now: Obj: to add and subtract rational expressions Remember: you need a common denominator!

Adding, Subtracting, Multiplying, & Dividing Rational Expressions

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)

How to Simplify Rational Expressions How to Simplify Complex Fractions.

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

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

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.

Bell Ringer 9/18/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷

Complex Rational Expressions, Equations. Complex Rational Expression = fraction which will contain at least one rational expression in the numerator OR.

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

Module: 0 Part 4: Rational Expressions

Why do we invert and multiply?

Multiplying and Dividing Rational Expressions. Multiplying and Dividing Fractions Multiply Numerators Multiply Denominators Multiply by the reciprocal.

9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.

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

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.

§ 7.7 Simplifying Complex Fractions. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Complex Rational Expressions Complex rational expressions.

Warm Up #13 1 (6x x 2 – 18x)  3x 2 (4x 2 + 9x +2)  (x+2) 3 (x )  (x + 6)

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.

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

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

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

In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.

Simplifying Rational Expressions.

Objectives Add and subtract rational expressions.

How do we multiply and divide Rational Expressions?

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

Multiplying and Dividing Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Multiplying and Dividing Fractions

8.1 Multiplying and Dividing Rational Expressions

11.2: Multiplying & Dividing Rational Expressions

Multiplying and Dividing Rational Expressions

8.5 Add and Subtract Rational Expressions

Complex Fractions and Unit Rate

Multiplying and Dividing Rational Expressions

Without a calculator, simplify the expressions:

Complex Fractions and Unit Rate

Simplify Complex Rational Expressions

Simplifying Rational Expressions.

(6x3 + 12x2 – 18x)  3x (4x2 + 9x +2)  (x+2) (x )  (x + 6)

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

Simplifying Complex Rational Expressions

Ch 9.3: Multiplying and Dividing Rational Expressions

Complex Rational Expressions

Rational Expressions and Equations

Simplifying Rational Expressions.

Simplifying rational expressions

7.4 Adding and Subtracting Rational Expressions

Which fraction is the same as ?

Rational Expressions and Equations

SLOT Week 11 – Day 1.

Section 7.3 Simplifying Complex Rational Expressions.

Multiplying and Dividing Rational Expressions

9.5 Addition, Subtraction, and Complex Fractions

10.3 Dividing Rational Expressions

Presentation transcript:

Unit 3: Rational Expressions Dr. Shildneck September 2014 Complex Fractions Unit 3: Rational Expressions Dr. Shildneck September 2014

How to Simplify Complex Fractions Determine the “numerator problem” Simplify it Determine the “denominator problem” Divide the numerator by the denominator (remember to multiply by the reciprocal) Multiply and simplify

Example 1 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Example 2 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Example 3 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Example 4 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Example 5 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Example 6 NUMERATOR PROBLEM DENOMINATOR PROBLEM

Assignment 6 – Complex Fractions (http://www.cobblearning.net/bshildneck/files/2013/09/Unit-3-Assignment-6-Complex-Fractions-wfbmw2.pdf)