simplify-each-complex-rational-expression-in-each-case-list-any-values-of-the-variables-for-which--2

Question

Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined.
$\frac{\frac{2}{5}}{4}$

Georgiann Andersen · Accepted Answer

Okay, we&#x27;re gonna do to problem number four. We have two fists all over for we&#x27;re gonna simplify this. This is the same as saying to this divided by or when you divide. It&#x27;s the same as multiplying by the reciprocal. And when you multiply fractions, you take the top. The numerator is by each other and the denominators times each other. This is gonna leave us as to over 20. We can reduce that down to one over 10 and that&#x27;s our answer.

Georgiann Andersen · Answer

Okay, We&#x27;re going to simplify a complex expression. This is problem number 20. Our expression is five minus 45 over a squared all over three over a minus one. The first thing we&#x27;re gonna dio on the top is we&#x27;re going to simplify that little bit farther. In order to do that, we need to put the five over a squared. And so we&#x27;re gonna have to multiply the five by a squared subtract 45 over a squared, which ends up giving us five a squared minus 45 all over a squared. Now we need to simplify the Dominator too. So we have three a minus and you can turn the one into a over a so we&#x27;re gonna have three minus a over a and we&#x27;re gonna do five a squared finest 45 over a squared. And when you divide, you can multiply by the reciprocal. Okay, so we&#x27;re gonna factor out on the numerator. Ah, we&#x27;re gonna make it five a squared minus nine. All over a squared times. The a over three minus a. We can get rid of one of the ace. At least us with five. A squared minus nine. All over a times three minus a. That&#x27;s factor out. The A squared minus nine gives us five a minus three A plus three. And on the bottom, Let&#x27;s take out a negative of the three minus a and make this a negative, eh? And that&#x27;s gonna give us a minus three. Okay, That means we can go ahead and eliminate a minus three, leaving us with five times a plus three all over. Negative, Eh? So that is as far as we can go. A sw far simplifying. And we also know that a cannot be zero. It cannot be three. Otherwise, it turns out to be undefined.

Leina Wu · Answer

I got in this question. We have a Russian expression to simplify or why one is one of a Why divide by. Why miners? One hot. Okay, so in this expression, we know that there are two fractions. One of the why can one have so in order to get us? Let us simple by this when you to get rid of the one of a why anyone half. So what we can do here is we can mold by the top and bottom by the least, a common denominator. With these two directions the one of a lie in a one path, the least a common denominator will just be to white. So I wore my everything by two. Why? Once you do this, we can distribute the to y to the top, and we can also distributed to wind to the bottom. So if you have distributed to a while on the top, we have four white times to wind. That&#x27;s eight wines square minus one of the White Times to white in the bottom. We have wired times to white, which was two y square, one of 1/2 times to what? Okay, So we had have eight y square, minus two on the top. Because why and what can be reduced in the bottom two and two could be reduced. So you have to Wai Square minus what I keep going. Let&#x27;s see how we can. Some providers on the top We noticed that there was two and eight, so I can factor other, too. I have four wives square miners in the bottom noticed that there&#x27;s why and why. So you can fact all the why and I get e to Why miners What? Okay, now those four Wife square could be further factored as two y plus one and two wine minus one. The denominator you have. Why two y minus one? So we can see over here they have a common factor to Wyman is one that could be reduced. So eventually we have on our final. The answer will be two times two y plus one, too. Bye bye. But now let&#x27;s see what kind of value that why cannot be in terms of the y value, we should look at the original fracture. Original correction is for why to try one of the one divide by wine lines 1/2 so notice that there is one of a why so why can obviously wrote being at the denominator of that fraction. Also, Wyman is 1/2 cannot be zero but that tell us why cannot be zero and why it cannot be one house. So why cannot be zero and one house, and the expression can therefore be simplified as two times two y plus one over why?

Leina Wu · Answer

okay, in this question, we&#x27;re trying to simplify 3/3 4th Okay, So when we are doing a fraction divide I me a certain value divided by another fraction, which the dividing is the same at three times the reciprocal of three force, which means waiting to flip three forests as four other, three, three and three could be reduced. Therefore, the simple bite answer. We&#x27;re just before the four ISS. The simple fighting answer of 3/3 4

Georgiann Andersen · Answer

Okay, this is problem number six. And we have to over X. I&#x27;ll over one over to X, and we&#x27;re going to simplify this and list any values where, um, the variable would be undefined. So this is the same. A stay and saying to x divided by one over to X. When you divide that, it&#x27;s the same thing is multiplying by the reciprocal. So I&#x27;m gonna have to x over one here. I could do the cross reduction, and I can actually cross this out. Medical one. Cross this out and make it two. So I&#x27;m gonna have or over one. So my answer here, the simplified version is Or now we know, though, that if a denominator is zero, it makes it undefined, so X cannot equal zero

Leina Wu · Answer

okay. This question were still will find this fraction on type is 1/6. Close. One home for and in the bottom is 1/3 plus 1/2. So if you want a simplified us, we can first of all, observe all the fractions and all of the denominator. We have six for three and two bullets. Identify the least a common denominator. Uh, was 643 to the least commented on merit Could be well, so I&#x27;m gonna multiply everything on top and about by positive love. So once you multiply by 12 we can&#x27;t distribute just 12 into 16 times 12. That&#x27;s gonna be too. And we have looked my one force by 12 the other three to bottom 1/3 times 12 that is for and one have times 12. That is six. We have five over time. 5/10. We can further reduced by side. You get one house. 1/2 is gonna be the simplified form of this fresh

Problem

Simplify each complex rational expression. In eac…

Problem 4 Easy Difficulty

Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined.
$\frac{\frac{2}{5}}{4}$

Answer

$\frac{1}{10}$

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Grace H.

Kayleah T.

Caleb E.

Michael J.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 2

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Kayleah T.

Caleb E.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

$\frac{1}{10}$

Algebra 2 and Trigonometry

Grace H.

Kayleah T.

Caleb E.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Kayleah T.

Caleb E.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry