Rewrite 2/8 and 5/6 to have the same denominator. Created by Sal Khan and Monterey Institute for Technology and Education.
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- How do I find LCM with 3 fractions(227 votes)
- Its quite simple you find out what the three numbers are, lets say the numbers are: 2,3,4.
then you wright the numbers they all have in common.
Then circle or look to find witch they all have In common. If you look hard they all have or are equal to the number 12. I hope my answer helped you answer your question :)(111 votes)
- What if one of the denominators is a 1?(33 votes)
- If the denominator is a 1, then it's still the same formula: you simply divide the denominator by the numerator (ex: 4/1 = 4 divided by 1 = 4). It works no matter what the numerator or denominators are, even if the denominator isn't a 1 (ex: 7/3 = 7 divided by 3 = 2 1/3). With 4/1, it's easy to know that it will be 4, but with bigger numbers (ex: 282/47), it can be a lot harder to mentally figure out what your answer will be, so the dividing trick can help a lot in those scenarios. I know this answer is really late -- four years late; sorry -- but I hope either you see this, Noah, or somebody else who needed help sees this and gets the help that they need. :)(8 votes)
- Can someone explane this to me pls?(9 votes)
- So you have to find a common denominator, right? For this one, you have to multiply to get the common denominator. So what times 6 equals 24? Also, what times 8 equals 24? Then that is how you get your common denominator.(1 vote)
- is LCM n LCD are same?(10 votes)
- find the the lcd of 1/5, 1/4 and 1/9?(11 votes)
- is LCM n LCD are same ?(6 votes)
- Yes, you can think of them somewhat interchangeably. The LCD for any 2 fractions is the LCM for their denominators. However, LCM is used for other things besides common denominators. There are some exercises in KA where you need to find the GCF or the LCM to solve a series of word problems.(4 votes)
- What's a common denominator?(2 votes)
- A common denominator is a denominator that you can reach by both denominators. For example in the problem 3/4+ 5/6 a common denominator is 12 because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers. Thanks for reading hope it helps!(11 votes)
- I am working on a course and I am confused. The course question wants me to: Rewrite each fraction with a denominator of 12. The fractions are: 3/4 and 5/3. How do I solve it?
- Multiply the denominators to get to 12. Then multiply the numerators by the same amount as their corresponding denominator!!(3 votes)
We're asked to rewrite the following two fractions as fractions with a least common denominator. So a least common denominator for two fractions is really just going to be the least common multiple of both of these denominators over here. And the value of doing that is then if you can make these a common denominator, then you can add the two fractions. And we'll see that in other videos. But first of all, let's just find the least common multiple. Let me write it out because sometimes LCD could meet other things. So least common denominator of these two things is going to be the same thing as the least common multiple of the two denominators over here. The least common multiple of 8 and 6. And a couple of ways to think about least common multiple-- you literally could just take the multiples of 8 and 6 and see what they're smallest common multiple is. So let's do it that way first. So multiples of six are 6, 12, 18, 24 30. And I could keep going if we don't find any common multiples out of this group here with any of the multiples in eight. And the multiples of eight are 8, 16, 24, and it looks like we're done. And we could keep going obviously-- 32, so on and so forth. But I found a common multiple and this is their smallest common multiple. They have other common multiples-- 48 and 72, and we could keep adding more and more multiple. But this is their smallest common multiple, their least common multiple. So it is 24. Another way that you could have found at least common multiple is you could have taken the prime factorization of six and you say, hey, that's 2, and 3. So the least common multiple has to have at least 1, 2, and 1, 3 in its prime factorization in order for it to be divisible by 6. And you could have said, what's the prime factorization of 8? It is 2 times 4 and 4 is 2 times 2. So in order to be divisible by 8, you have to have at least three 2's in the prime factorization. So to be divisible by 6, you have to have a 2 times a 3. And then to be divisible by 8, you have to have at least three 2's. You have to have two times itself three times I should say. Well, we have one 2 and let's throw in a couple more. So then you have another 2 and then another 2. So this part right over here makes it divisible by 8. And this part right over here makes it divisible by 6. If I take 2 times 2 times 2 times 3, that does give me 24. So our least common multiple of 8 and 6, which is also the least common denominator of these two fractions is going to be 24. So what we want to do is rewrite each of these fractions with 24 as the denominator. So I'll start with 2 over 8. And I want to write that as something over 24. Well, to get the denominator be 24, we have to multiply it by 3. 8 times 3 is 24. And so if we don't want to change the value of the fraction, we have to multiply the numerator and denominator by the same thing. So let's multiply the numerator by 3 as well. 2 times 3 is 6. So 2/8 is the exact same thing as 6/24. To see that a little bit clearer, you say, look, if I have 2/8, and if I multiply this times 3 over 3, that gives me 6/24. And this are the same fraction because 3 over 3 is really just 1. It's one whole. So 2/8 is 6/24 let's do the same thing with 5/6. So 5 over 6 is equal to something over 24. Let me do that in a different color. I'll do it in blue. Something over 24. To get the denominator from 6 to 24, we have to multiply it by 4. So if we don't want to change the value of 5/6, we have to multiply the numerator and denominator by the same thing. So let's multiply the numerator times 4. 5 times 4 is 20. 5/6 is the same thing as 20/24. So we're done. We've written 2/8 as 6/24 and we've written 5/6 as 20/24. If we wanted to add them now, we could literally just add 6/24 to 20/24. And I'll leave you there because they didn't ask us to actually do that.