how do i find the LCD?

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how do i find the LCD?

Mathematics
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Find multiples of each the denominators and see which ones they all have in common. Then choose the smallest of those to be your LCD.
For example: Finding the LCD of 2/3, 5/12, and 7/15 we would list multiples of 3, 12 and 15
The other method involves factorizing your denominator

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And is often a bit faster.
so what if i have big number like, 220 and say 100....?
Yeah, that's when factorizing helps. What are the factors of 220?
how do you find the factors?
22 * 10 = 220 (11*2)*(5*2) = 220 So the factors of 220 are 2*2*5*11
oh, ok thanks!!
Does that make sense as to how you break them down?
yea sort of, i'm a little bit rusty when it comes to math....
So now, what are the factors of 100?
Pick two numbers you can multiply to get 100
hold up one second
ten and one??
ten times one is ten.
ok sorry, i ment ten times ten and 1 times 100
yeah, don't bother with 1, it's not useful when factoring, because you can factor infinitely many ones from any number
But \(10\times 10\) is good. So now, what two numbers do you multiply to get 10?
5x2 and 1x10 are the only ones i can think of right off the top of my head
Right, those are the only ones. But again, the 1x10 is not useful. So we'll use 5x2
So that means that \(100 = 10\times 10\) \(100 = (5\times 2)\times (5\times 2)\)
So the factors of 100 are?
10?
No. 2*2*5*5
sorry, like i said, a bit rusty
You take each number in your fully factored form those are your factors
In this case we had 2*5*2*5 = 100, so 2, 2, 5, 5 would be our factors.
oh, wow, thank you so much for your help!!!
Ok, so now we take the factors of 100 and the factors of 220 and compare them: 100= 2*2 * 5*5 220= 2*2 * 5 * 11
and the lowest is two, so the LCD would be 2??
No, that's the LCF
ok so whats the LCD then?
The lowest common factor is 2, but the lowest common divisor is actually bigger than 100, or 220
And we see that if we want them to have the same factors, we need a 11 times 100 and a 5 times 220
What is 11 * 100?
im looking for the lowest common denominator, not the divisor..
100= 2*2 * 5*5 220= 2*2 * 5 * 11 Sorry I meant denominator
oh ok, i was getting a bit confused fro a second,
So again, both of our numbers have 2 2's, and one 5.
But one has an extra 5, and the other has an 11.
Do you see that?
yep i do!
Ok, so we have to make them the same
So we need to multiply 100 times 11, and 220 by 5 and they will have the same factors and therefore be the same number. And that number is our LCD.
oh ok!
So what is 5 * 220, and 100 * 11?
1100
yep. Now lets have you try it with either another problem you have, or my earlier example
ok lets see, how about, 95 and 100
Ok, so first factor them like we did before, 100 is easy since we already had that one the last time.
yep and its 10x10
No, you can factor that further remember?
10 is 5*2, so 100 is 5*2 * 5*2
oh yea sorry, i am so sorry i apparently have lack of memory
anyways, do go on...
Ok, so factor 95
ok 5x19 is one i know
but i cant think of any others
That's good. There are no others.
oh ok
So list the factors of 100, and the factors of 95 side by side and see which ones they have in common and which ones they do not.
ok so, 100: 5x2 5x2 and for 95: 5x19 so the all have fives
Ok, which ones do they not have in common?
19 and 2
Ok, specifically if we wanted to make them the same, what would we need to multiply by 100
not really sure....
100 has all the ones 95 has except?
19
Good. And 95 has all the ones 100 has except?
2
Close. It's actually two 2's and a 5. You have to count how many each one has.
oh ok so with that how do you make them the same?
Well you multiply the 100 by the ones it's missing (19) and the 95 by the ones it's missing (2*2*5)
And they should be the same.
and it would equal to 1900
100 * 19 = 1900, what about 95*2*2*5?
it equals the same, 1900
Yep, that's your LCD
Ok try another one on your own.
i will! thanks for all your help!!
Any time =)
wow i just did one on my own and i got it right, thank you for helping me understand!
Very welcome! =)
but i might need help on something else, if you have the time
Oh, when you can, go ahead and give me a medal, that's how the site determines whether or not the question is answered.
Of course, just start a new question and I'll take a look.
ok, i have these problems where im supposed to change a percent that is a mixed number into a fraction (in lowest terms) and the book gives me no help on how to do it
Ok, well start by turning the mixed number into a fraction.
for example, 5 3/8 percent into a fraction
Right, so start by turning the 5 3/8% into a improper fractional percentage
Basically ignore the percent for now.
ok hold up
dont you multiplie the 5 by 3 then add 8, or am i getting this mixed up
dont you do this: 5x3+8 then keep eight as your denominater
No, for improper fractions, you need to rewrite 5 as \(\frac{x}{8}\)
Then add it to the 3
sorry, i dont know what that is
5 and 3/8 \[= 5 + \frac{3}{8}\]\[ = \frac{5}{1} + \frac{3}{8}\] \[= \frac{5}{1} * 1 + \frac{3}{8}\] \[= \frac{5}{1}*\frac{8}{8} + \frac{3}{8}\] \[= \frac{40}{8} + \frac{3}{8}\] \[= \frac{43}{8}\]
ok, i kind of get it but kind of dont, if that makes any sense
like where did the one and the eight come from>
Well, you can always multiply 1 times something and get the same thing right?
right...
\[\frac{5}{1} = \frac{5}{1}*1\]
oh ok....
And any number over itself is 1 right?
right
\[\frac{8}{8} = 1 \implies \frac{5}{1}= \frac{5}{1}*1 = \frac{5}{1}*\frac{8}{8} = \frac{40}{8}\] This is just a very long way to say that \[5 = \frac{40}{8}\]
ok now it makes sense.... so ow that we have the 40/8 what do we do with it?
You could also answer that by just taking the denominator and multiplying it by the whole number part.
So then we add it to the fractional part.
So 5 and 3/8 as a fraction is 40/8 + 3/8
Take the denominator. Multiply it by the whole number. Then add that to the numerator of the fractional part. That's your improper fraction.
43/8...?
Yep. So 43/8 %
But we want that as just a fraction, not a percent.
right...
So to turn a percent into fraction a we just multiply the denominator by 100.
yep and that would be 800?? because you multiply 8 x 100= 800
Yep.
So 5 and 3/8 % = 43/800
oh ok..
So now you try one.
ok, and i will let you know if i get it right
ok
ok, heres my problem: 8 4/5 change it into a percent: i got 44/5 then multiplied it by 100 and got 44/100... is that correct?
No. 5 * 100 = 500, not 100.
thats what i ment sorry
Then yes, 44/500 is correct.
yay! thanks! and im sure i will have more questions, so when i do, ill just ask!
ok
how do i give you a medal?
ok, i have another question.....
nevermind!
Sorry, I had class. To give a medal you click the give medal button. next to any of my posts..

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