How to find the LCM of two or more numbers (or expressions) Ex: Find the LCM for 40, 30, 36 40 = 23 23 3 30 = 2 35 36 = 2 2 3232 For 2 we select 2323 For.

Slides:

Advertisements

Similar presentations

Chapter 2 Fractions.

Advertisements

Fraction X Adding Unlike Denominators

Fraction XII Subtracting Unlike Denominators

Fraction IX Least Common Multiple Least Common Denominator

We need a common denominator to add these fractions.

Additional Examples 1A: Solving Equations with Decimals

Elena, Joe, Owen, Samantha, and Tuck have weighed their backpacks. Elena's backpack weighs the most. Owens backpack weighs 0.45 lb less than Joe's backpack.

Sums and Differences of Rational Expressions

LCMs and GCFs MSJC ~ San Jacinto Campus Math Center Workshop Series

Lesson 4-4 Example Example 1 1.Change each decimal to a fraction. Order, 0.5,, and –0.8 from least to greatest. Graph the numbers on a number line.

Writing Improper Fractions

EXAMPLE 1 Finding the Least Common Multiple

copyright©amberpasillas2010

Least Common Multiple LCM 2 Methods

Fraction XI Adding Mixed Numbers With Unlike Denominators

Fraction IX Least Common Multiple Least Common Denominator

Least Common Multiples and Greatest Common Factors

Warm up Factor the expression. 10x – 5x2 ANSWER 5x (2 – x)

Using Lowest Common Denominator to add and subtract fractions

Unit: Rational Functions Chapter 9-5: Adding and Subtracting Rational Expressions Essential Question: How do you add and subtract two rational expressions?

Write factor pairs for each number. Use divisibility tests to help you! x 40 1 x 72 1 x 57 2 x 20 2 x 36 3 x 19 4 x 10 3 x 24 5 x 8 4 x 18 6.

Finding the LCM of Expressions The LCD of the rational expressions is the same as the Least Common Multiple (LCM) of the two denominators. When adding.

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

21 = 3 ∙ 7 18 = 2 ∙ 3 ∙ 3 REVIEW OF ADDING & SUBTRACTING FRACTIONS

EXAMPLE 1 Comparing Fractions Using the LCD SOLUTION Find the least common denominator of the fractions. The LCM of 8 and 12 is 24, so the least common.

Math 025 Unit 5 Section 6.3.

Operations on Rational Expressions Digital Lesson.

Addition and Subtraction with Like Denominators Let p, q, and r represent polynomials where q ≠ 0. To add or subtract when denominators are the same,

9.5 Adding and Subtracting Rational Expressions 4/23/2014.

Lesson 3-5 Example Example 2 1.Write the prime factorization of each denominator × 22 × ×

9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.

Example ANSWER x(x+1). Example Example ANSWER 1.

Section 5.3.  Adding or Subtracting requires common denominators like numerical fractions  You will need to figure out the LCD by finding the LCM.

Adding and Subtracting Rational Expressions

Math /7.4 – Rational Expressions: LCD, Adding, and Subtracting 1.

Simplify a rational expression

9.5 Adding and Subtracting Rational Expressions 4/23/2014.

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

8.5 Warm-up Add and Subtract Rational Expressions Adding and Subtracting with Like Denominators

Lesson 8-2: Adding and Subtracting Rational Expressions.

Math – Adding and Subtracting Fractions, Mixed Number, and Rational Expressions 1.

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental.

Lesson 3-6 Example Example 2 1.Write the prime factorization of each denominator. 10=2 5 6=2 3.

Adding and Subtracting Rational Expressions

9.5 Adding and Subtracting Rational Expressions (Day 1)

11.6 Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions with Different Denominators Find the LCD of two or more rational expressions. 2.Given two rational expressions,

How can you find the greatest common factor of two numbers?

Math – Least Common Multiple 1. The __________________________ of two numbers is the ___________ number that is a __________ of both the original.

 Chapter 8 – Rational Expressions and Equations 8.2 – Adding and Subtracting Rational Expressions.

Warm-Up Exercises Section 5.5 Adding and Subtracting Rational Expressions.

Operations on Rational Expressions ADD/SUBTRACT. The least common multiple (LCM) of two or more numbers is the least number that contains the prime factorization.

Finding the LCM Test #4 Question 1 Find the LCM of 3 and 5.

Finding the LCM Rule 6 ‑ 1: To find the lowest common multiple of numbers containing literal numbers: 1. factor each term; 2. determine the maximum number.

11.5 Adding and Subtracting Rational Expressions

Rational Expressions and Functions: Adding and Subtracting

Adding and Subtracting Fractions

Warm up Simplify without a calculator! 1) ) 1 4 − 7 8.

21 = 3 ∙ 7 18 = 2 ∙ 3 ∙ 3 REVIEW OF ADDING & SUBTRACTING FRACTIONS

Warm up A. B. C. D..

Operations on Rational Expressions

Warm up A. B. C. D..

Simplifying Rational Expressions

Greatest Common Factor and Least Common Multiple

Lesson 9.2 Adding & Subtracting Fractions

Section 8.2 – Adding and Subtracting Rational Expressions

Section 7.2 Adding and Subtracting Rational Expressions.

Presentation transcript:

How to find the LCM of two or more numbers (or expressions) Ex: Find the LCM for 40, 30, = = = For 2 we select 2323 For 3 we select 3232 For 5 we select 5151 LCM = ) For of each number (or expression) get the prime decomposition 2) For each factor in the decompositions select the one with maximum exponent 3) The product of all Answer: LCM = 360

Find the LCM for 6x-6, 4x 2 -4, x 2 +2x-3 First get the prime factorization for each polynomial 6x - 6 = 6(x -1) = 2·3 (x -1) 4x = 4(x 2 -1) = 2 (x +1) (x -1) x 2 + 2x - 3 = 3 (x – 1) (x +1) ( x +3) For 2 we select 2 For 3 we select 3 For x we select x For x +1 we select x +1 For x +3 we select x +3 LCM = 2 2 (3)(x – 1) (x +1) ( x +3) Answer: LCM = 12 (x –1)(x +1)( x +3)

We need to find the LCD (LCM for the denominator ) Since 9 = = = ·3 So the LCD = · = 8·9 = 72 Rewriting the fraction with denominator 72 … Find the value of Adding Fractions