Simplifying Complex Fractions | California State University, Northridge - Edubirdie

University:
California State University, Northridge
Course:
MATH 320 | Foundations of Higher Mathematics
Academic year:

2024
Views:

437

Pages:

6
Author:

Victor Vaughn

§ 14.7 Simplifying Complex Fractions Complex Rational Fractions Complex rational expressions (complex fraction) are rational expressions whose numerator, denominator, or both contain one or more rational expressions. There are two methods that can be used when simplifying complex fractions. 83 Simplifying Complex Fractions Simplifying a Complex Fraction (Method 1) 1) Simplify the numerator and denominator of the complex fraction so that each is a single fraction. 2) Multiply the numerator of the complex fraction by the reciprocal of the denominator of the complex fraction. 3) Simplify, if possible. 84 Simplifying Complex Fractions Example x x 4 x + 4 +2 + x+4 2 x+4 2 2 2 2 ⋅ = = = = 2 x−4 x−4 x x−4 x 4 −2 − 2 2 2 2 85 Simplifying Complex Fractions Method 2 for simplifying a complex fraction 1) Find the LCD of all the fractions in both the numerator and the denominator. 2) Multiply both the numerator and the denominator by the LCD. 3) Simplify, if possible. 86 Simplifying Complex Fractions Example 1 2 + 2 2 2 y 3 6y 6 + 4y ⋅ 2= 2 1 5 6y 6 y − 5 y − y 6 87

Related Documents

Simplifying Complex Fractions

Simplifying Complex Fractions - Page 1

Simplifying Complex Fractions - Page 2

Simplifying Complex Fractions - Page 3

Simplifying Complex Fractions - Page 4

Simplifying Complex Fractions - Page 5

Simplifying Complex Fractions - Page 6

of 6

Recommended Documents

Solving Equations Containing Rational Expressions

Solving Equations Containing Rational Expressions

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Equations, Inequalities and Problem Solving, Part 4

Equations, Inequalities and Problem Solving, Part 4

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Multiplying Polynomials and Special Products

Multiplying Polynomials and Special Products

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Adding and Subtracting Rational Expressions With Different Denominators

Adding and Subtracting Rational Expressions With Different Denominators

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Exponents

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Simplifying Rational Expressions

Simplifying Rational Expressions

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Dividing Polynomials

Dividing Polynomials

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Adding and Subtracting Rational Expressions With the Same Denominator

Adding and Subtracting Rational Expressions With the Same Denominator

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Problem Solving With Rational Equations

Problem Solving With Rational Equations

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Introduction to Polynomials

Introduction to Polynomials

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note

Equations, Inequalities and Problem Solving, Part 1

Equations, Inequalities and Problem Solving, Part 1

California State University, Northridge MATH 320 | Foundations of Higher Mathematics

Lecture Note