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Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined.$\frac{\frac{1}{2 x}+\frac{1}{3 x}}{\frac{1}{x^{2}}}$

$\frac{5 x}{6}, x \neq 0$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 6

Complex Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

Missouri State University

Campbell University

Lectures

01:32

In mathematics, the absolu…

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Simplify each complex rati…

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Simplify each expression. …

02:01

Okay, We're gonna look at problem 14. We have one over to X. That's one over three X Oh, over one of her X Square. Let's simplify the numerator. We've got one over to X plus one over three X. In order to simplify this, we need to have the denominator the same so we can take to x times the three X and we can take the 1st 1 and take that times the three x and add the two X That's gonna leave us with Ivax over six X Square. We can move that back in and make this five x over six X squared. We're gonna buy it all that by one over X squared. That's the same as saying five x over six x squared. I'm so reciprocal X squared over one. It could cross reduce the X squared, and that leaves us with five acts over six. So that's our answer right there. That's our simplified answer. Now they want to know what values cannot be Us. You look at the top originally all of us denominators. If any one of them would turn out to be a zero, um, that would make this and undefined so ex cannot be zero

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