Simplify the complex rational expression.1 3У 21 3у 41 3у 2y(Type a simplified rational expression.)3y 4

Given rational expression is 1y-321y+34.

Answered: Simplify the complex rational…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter7: Rational Expressions And Functions

Section7.3: Simplify Complex Rational Expressions

Problem 7.58TI: Simplify the complex rational expression by using the LCD: 1x21y21x+1y .

See similar textbooks

Related questions

Question

Simplify the complex rational expression.
1 3
У 2
1 3
у 4
1 3
у 2
y
(Type a simplified rational expression.)
3
y 4

Expert Solution

Step 1

Given rational expression is $\frac{\frac{1}{y} - \frac{3}{2}}{\frac{1}{y} + \frac{3}{4}}$ .

Step 2

To simplify the given expression.

Given expression is $\frac{\frac{1}{y} - \frac{3}{2}}{\frac{1}{y} + \frac{3}{4}}$

Simplify the expression as,

$\frac{\frac{1}{y} - \frac{3}{2}}{\frac{1}{y} + \frac{3}{4}} = \frac{\frac{2 - 3 y}{2 y}}{\frac{4 + 3 y}{4 y}} = \frac{2 - 3 y}{2 y} \times \frac{4 y}{4 + 3 y} = \frac{2 (2 - 3 y)}{4 + 3 y}$

Step by step

Solved in 3 steps

Similar questions

Electronics The resistance of a circuit formed by connecting two resistors in parallel is 11R1+1R2 . a. Simplify the complex fraction 11R1+1R2 . ® Find the resistance of the circuit when R1=8 and R2=12
Simplify the complex rational expression by using the LCD: 1x21y21x+1y .

Recommended textbooks for you

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

SEE MORE TEXTBOOKS

Simplify the complex rational expression. 1 3 У 2 1 3 у 4 1 3 у 2 y (Type a simplified rational expression.) 3 y 4