Question

5/a + 1/2 = 6/a

Answer 1

Here's a case where all that is needed to do is subtract 5/a from both sides.

Answer 2

You get

\(\frac{1}{2} = \frac{1}{a}\)

Then cross multiply to get a = 2

Answer 3

Once again, no LCD needed

Answer 4

how do i knw if there is an extraneous root?

Answer 5

You'll have to substitute a = 2 back into the original problem to figure that out, but usually, you'll have an extraneous root if you have something like {2 - a} in the denominator

Answer 6

ohhh ok!

Answer 7

If you use my methods, you won't need to find an extraneous root. You'll simply calculate it using algebra without having to do any guess work.

Answer 8

So for future questions like this what should i do?

Answer 9

My methods do not require using lcds. The only thing you'll have to do is get the denominator of two of the fractions to be the same. Then set up a proportion and cross multiply.

Answer 10

You can do that with virtually any equation involving three fractions.

Answer 11

okie dokie!

Answer 12

@Hero there is no need to do cross multiplication also..

Look for my method..

Ha ha ha..

Answer 13

@waterineyes whats your method?

Answer 14

@Hero will explain it better..

Answer 15

@waterineyes, there are a couple of reasons to do it the way that I suggestion.

1. My method does not require finding an LCD
2. It helps greatly when dealing with problems where there is an extraneous solution.
3. It is much simpler IMO.

Answer 16

imo?

Answer 17

ooooo nm hahaha

Answer 18

IMO = in my opinion

Answer 19

XD

Answer 20

I can show you an example of what I mean @waterineyes

Answer 21

Can you give me one example where by LCD it becomes complicate to solve it..

Answer 22

I don't have to show you. All I need to tell you is that there are many students who don't even know how to find an LCD. They find my methods easier.

Answer 23

And there are as many students as you have that finds easier to do by LCD..

Answer 24

That's because lcd is the only method that they know of. How do you know that it is easier? Have you showed them my methods yet? No. So you can't make that claim.

Answer 25

It is the concept that indicates what is easier and what is not..

If they are not getting your concept then why they will say it is easier..??

And definitely if they don't get the concept of LCD then also they will find it difficult..

Answer 26

@waterineyes, who is saying that they don't get my concepts?

Answer 27

Is it you?

Answer 28

I don't recall running into anyone who didn't understand my methods or complained about them.

Answer 29

Well, I am sure it is not me...

Like wise you are one of the students who don't know how to find LCD???

Answer 30

I know how to do it that way, I just choose not to teach that. I think many students are potentially confused by lcds. I personally choose to use what I believe to be the simpler method.

Answer 31

i know how to do the LCD.....I dnt knw what method @Hero is talking about..... u still didnt tell me what your method was...

Answer 32

@hannah2013, you're familiar with lcds, but if you knew how to do these, you wouldn't have posted these fractional equations. The question is, do you know how to solve fractional equations.

Answer 33

Then choose it and not show off..

In every post above you are saying continuously that I have not used LCD and my method is easier..

And if I can't say what is easier then you also cannot say what is easy or what is not.......

Answer 34

She knows LCDs.. @Hero

Answer 35

@Hero No, that is why I posted the question....

Answer 36

@waterineyes, I don't say it to "show off". I just simply say it to emphasize that lcds are not required to solve. Anyway I don't wish to continue this discussion with you @waterineyes because it means nothing and we're not getting anywhere.

Answer 37

And she just admitted that she doesn't know how to do fractional equations @waterineyes

Answer 38

I just want to knw how o solve the problem.....

Answer 39

to*

Answer 40

The mathematician who discovered this method was mad @Hero

Answer 41

Which method?

Answer 42

LCD..

Answer 43

Oh, yeah, If I were that mathematician, I'd be mad too

Answer 44

He should have first confirmed it from you @Hero

Answer 45

I rendered LCDs useless for fractional equations

Answer 46

@hannah2013, the method that I use to solve fractional equations is simple algebra.

Answer 47

Indirectly your method also includes the LCD...

Answer 48

Yes, but I don't like to use the term LCD. I'd rather call my methods simple algebra.

Answer 49

But trust me, I don't use LCD method for any of them.

Answer 50

@waterineyes now that we have established @Hero DOES NOT LIKE LCD can we please move on? How do you use your method @Hero ?

Answer 51

I can show you a few problems where I have not used the LCD @waterineyes

Answer 52

In place of LCD you are calling that my method but the fact is they are also including the concept that was given by that mad mathematician...

Answer 53

@hannah2013 , I can show you in vyew.

Answer 54

Go ahead @Hero

Answer 55

Like you @hannah2013 , I'm not enjoying this conversation with @waterineyes either

Answer 56

@hannah2013 he used LCD here...

Answer 57

There are many fractional equations where I have not used an lcd

Answer 58

OKAY! if i cant get help with this supposedly simple question i will close it and just forget about it!

Answer 59

Go ahead to give example of those... @Hero

Answer 60

You can come to vyew too @waterineyes so I can show you

Answer 61

I will post the link here

Answer 62

@waterineyes we all knw he doent like the term LCD.......k

Answer 63

He only does not like the word LCD instead he calls it My Method but his method indirectly uses LCDs..

Answer 64

Okay, waterineyes, I'm going to show you

Answer 65

http://vyew.com/room#/418625/Open_Study_Math

Answer 66

Can we stop the conversation now??

Answer 67

yeah u can stop tlking when ever u want @waterineyes

Answer 68

@waterineyes, I'm going to continue to use my methods regardless of what you say

Answer 69

Yeah because I know that they are "My Methods..."

Answer 70

So the conversation will stop, but my methods won't.

Answer 71

And that Link is not opening..

Answer 72

Well, that's too bad. Maybe it wasn't meant for you.

Answer 73

Or may be you have not any example to show your "My methods" that don't include LCDs..

Answer 74

I've shown my methods plenty of times @waterineyes.

Answer 75

Yeah I saw it..
By making the simpler thing more difficult...

Answer 76

You're only saying that because I don't eliminate the fraction right away.

Answer 77

That doesn't mean that it is more difficult.

Answer 78

The whole notion of "getting rid of fractions makes solving the equation easier" is a false assumption.

Answer 79

Besides, students should try to become more comfortable with working with fractions, not try to avoid them.

Answer 80

They do....

Answer 81

I am on that link...

Answer 82

You mean "in your opinion" they make things more difficult. But I emphasize that it doesn't have to be more difficult. It's about what the method accomplishes and the simplicity of the steps. I don't really care much for lcds.