Question

How can I add 4/9 + 5/6,using LCM? I need to see all the steps. I'm still getting confused once I find the LCM. And I am also trying to multiply 3/4 X 1/8. Can someone help me and explain the steps?

Answer 1

uh oh lol

Answer 2

Break 9 up into its factors to get LCM. 9 is 3 x 3. Do the same with 6. 3 x 2. The LCM has to have everything in both. So, LCM is 3 x 3 x 2. Do you follow so far?

Answer 3

we only did it with GCM btw never with LCM

Answer 4

oop.. it doesn't say to do that.. I just thought I was suppose to do that every time
. The problem is just to add 4/9 + 5/6

Answer 5

Nooo wait we did it with LCM. Sorry I am confusing u

Answer 6

We need to list the multiples of 9 and 6
9=9,18,27,36...
U list the multiples of 6 ok?

Answer 7

Now that you have the LCM = 18, you have to see what you will have had to do to each fraction to get the LCM in the denominator. With 4/9, you have to multiply the numerator and the denominator by 2. That is you multiply by 2/2 which is the same as 1/1 or 1 and you will still have 4/9 in essence because 1 is the multiplicative identity. So, 4/9 x 2/2 = 8/18. Still with me?

Answer 8

I think I'm the one whose confused here. sorry.. the problem is just for me to add the fractions....

Answer 9

U can only add the fractions if the have the same denomanator and in this case they dont one is 9 and the other is 6 we need to have the same denomanator

Answer 10

Yes, and you do have get the LCM to add those fractions, so we continue. 5/6 = 5/6 x 3/3 = 15/18. Notice how both fractions now have the same denominator, 18.

Answer 11

9=18,27,36,45,54....

6=12,24,30,36,,42,

Answer 12

Now, 8/18 + 15/18 = 23/18 since with fractions you keep the denominator the same and just add the numerators.

Answer 13

6=6,12,18,24,30,36

Answer 14

u skipped out the 18

Answer 15

So, your answer is 23/18 and you are DONE unless you want to simplify that answer. That's all there is to it.

Answer 16

Do you understand the steps I've given?

Answer 17

no, you went to fast and I got lost

Answer 18

ok well we have the multiples of both what is the Lowest common multiple?

Answer 19

Just go over it, it's all there or if you like, ask a question.

Answer 20

Its too hard for me to try to follow both of you. sorry

Answer 21

To do LCM, you can list the multiples of each denominator and take the smallest of the common numbers. That is one way to do it and is a little slow. The faster way is to list the factors of each and make sure that the LCM has all factors from both.

Answer 22

Swissgirl, what do u mean I skipped out 18

Answer 23

6=12,24,30,36,,42,
When u listed out the multiples of 6 u skipped out 18 It should have been
6=12,18,24,30,36,,42,

Answer 24

sorry

Answer 25

and u skipped out 6 cuz 6*1=6

Answer 26

ok

Answer 27

So the multiples of 6 are
6=6,12,18,24,30,36,42...

Answer 28

9=18,27,36,45,54
6=12,18,24,30,36,42,48

Answer 29

9=9,18,27,36,45,54
6=6,12,18,24,30,36,42,48
These r the multiples

Answer 30

can we start from this point?

Answer 31

yes so what is the LCM?

Answer 32

Is it 18 or 36

Answer 33

Well what is the lowest number?

Answer 34

18

Answer 35

Correct

Answer 36

The lowest number is 18

Answer 37

Now this is where I'm still getting confused.. My next next.. what should it be? 4/9 +?

Answer 38

I'm not sure what to do with the 9 and the 6. Should the nenew fraction be 4/9 +9/9

Answer 39

okkk i am back lets continue

Answer 40

WE need to get our denominator to 18 right
so 9*_=18
9 times what equals 18?

Answer 41

9*2=18 correct?

Answer 42

\(\huge \frac{4} {9} *\frac{2} {2}+ \frac{5} {6}* \frac{3} {3} \)

\( \huge \frac{8} {18} + \frac{15} {18}=\frac{23} {18} \)

Answer 43

I am so confused.. you and the other person was talking to me at the same tme.. now I have two different answere.. yours is 15/18 and the oter one is 23/18

Answer 44

mine is 23/18 too

Answer 45

look

Answer 46

Oh I see it now.. but I have no idea how you got that answer.. I understood you all the way to finding the LCM.. then you left, and I couldn't find the notes. Was the LCM 18

Answer 47

ok let me get u the notes

Answer 48

http://openstudy.com/users/swissgirl#/updates/5060bcf6e4b02e139410fac4
here is the link to ur previous question

Answer 49

Thanksks, I finally got to see all the notes.

Answer 50

Thanks for the notes, I went back and re-read them,and I understand a little more.. however I am still a little confused as to where you got the 3 from. I'm thinking its the multiple of 3x9...and that's why you used it for the other fraction. This is the part, that I'm so confused about. not sure which numbers to use to make the other fractions with, when the denominators aren't the same.