Yahoo Answers: Answers and Comments for To add 1/2 and 3/4, the fractions must first be changed to the least common denominator of...what? [Homework Help]
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From Christopher
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Mon, 10 Sep 2018 03:55:18 +0000
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Yahoo Answers: Answers and Comments for To add 1/2 and 3/4, the fractions must first be changed to the least common denominator of...what? [Homework Help]
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From Michael: The least common denominator is 4
1/2 = 2/4
T...
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Mon, 10 Sep 2018 03:58:11 +0000
The least common denominator is 4
1/2 = 2/4
Therefor
1/2 + 3/4 = 2/4 + 3/4 = 5/4
5/4 can also be expressed as the mixed number 1 1/4

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From Krishnamurthy: The least common denominator of.1/2 and 3/4 is...
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Mon, 10 Sep 2018 22:56:42 +0000
The least common denominator of.1/2 and 3/4 is 4.
1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 1/4

From Laurie: What you say is not quite right. In order to a...
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Mon, 10 Sep 2018 04:20:41 +0000
What you say is not quite right. In order to add fractions, they must have the SAME (common) denominator... but that does not necessarily have to be the least common denominator.
For example,
1/2 = 2/4 = 4/8 = 6/12 = 12/24, and
3/4, 3/4 = 6/8 = 9/12 = 18/24
You can add them with any like denominator
2/4 + 3/4 = 5/4, which simplifies to 1 1/4
4/8 + 6/8 = 10/8, which simplifies to 1 2/8 = 1 1/4
6/12 + 9/12 = 15/12, which simplifies to 1 3/12 = 1 1/4
12/24 + 18/24 = 30/24, which simplifies to 1 6/24 = 1 1/4
"Least" common denominator simply refers to the smallest number that will work as a denominator for this purpose... but you can use ANY common denominator to add them.
However, if you do use the LCD, that makes simplification of the final answer easier.

From msoexpert: When you have fractions having different denom...
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Fri, 14 Sep 2018 04:49:13 +0000
When you have fractions having different denominators, and you're adding or subtracting, you first need to find a common denominator. This way, you're dealing with applestoapples rather than applestooranges. And yes, most textbooks and teachers will have you find the lowest common denominator. And then convert each fraction into it, then add or subtract to get your final answer.
However, I've taught students to find ANY common denominator they happen to see. Or if you cannot find one, just multiply the denominators together to get a common one. This technique sometimes allows you to at least get an answer. And then you can reduce it down to its lowest terms.
With 1/2 and 3/4, most can easily see that a common denominator is 4. So we'd need to convert halves to fourths. 1/2 would become 2/4 by multiplying both numerator and denominator by 2. Once this is done, we'd add 2/4 and 3/4 to get our final answer of 5/4. And if your answer needs to be a mixed fraction, it would be 1 1/4.
But what if you didn't know 4 was the lowest common denominator? You could have just multiplied the two denominators together to get a common one. IN this case that would give you 8. And then convert each fraction to eights. 1/2 would become 4/8 because we'd multiply top and bottom by 4. And 3/4 would become 6/8 because we'd multiply top and bottom by 2. Adding 4/8 and 6/8 together would give us 10/8.
Both numerator and denominator are divisible by 2. So we can reduce this down to 5/4. That matches the answer we got earlier on. So either way, you can arrive at the final answer. It's just a matter of whether you first find the lowest common denominator or ANY, then reduce afterwards. Depending upon the numbers, I find this alternate strategy sometimes is helpful.

From coverdaler: You have to make it 4. Because the thing is, ...
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Tue, 18 Sep 2018 12:18:45 +0000
You have to make it 4. Because the thing is, if you multiply the first one by 2, you have 2/4, and if you multiply the first one by 1, you get 3/4 that's 1 and a quarter, I believe.

From RAGHAVENDRAN: Least common multiple of denominator.
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Tue, 11 Sep 2018 06:44:31 +0000
Least common multiple of denominator.

From Anonymous: you can use 4
2/4 plus 3/4 = 5/4
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Mon, 10 Sep 2018 13:45:44 +0000
you can use 4
2/4 plus 3/4 = 5/4

From Mary: 1/2+3/4
LCM OF Denominators(2,4)= 4
2+3/4= 5/4
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Mon, 26 Nov 2018 12:00:04 +0000
1/2+3/4
LCM OF Denominators(2,4)= 4
2+3/4= 5/4

From Anonymous: 4. 1/2 = 2/4
2/4 + 3/4 = 5/4
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Tue, 25 Sep 2018 09:40:55 +0000
4. 1/2 = 2/4
2/4 + 3/4 = 5/4

From Anonymous: 4 which allows you to do 2/4 + 3/4 = 5/4 or 1 1/4
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Mon, 24 Sep 2018 01:10:57 +0000
4 which allows you to do 2/4 + 3/4 = 5/4 or 1 1/4

From Chances68: 4. So, 2/4 and 3/4 = 5/4, right?
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Fri, 21 Sep 2018 23:12:14 +0000
4. So, 2/4 and 3/4 = 5/4, right?

From ProfGene.Togolot: 1/2 is 2/4 so the two added is 5/4 which is 1 ...
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Thu, 20 Sep 2018 21:01:55 +0000
1/2 is 2/4 so the two added is 5/4 which is 1 and a quarter

From Ben: the denominator must be 4.
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Thu, 20 Sep 2018 14:10:47 +0000
the denominator must be 4.

From James Bond: of those
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Wed, 19 Sep 2018 18:55:02 +0000
of those

From skg6891: least common denominator of both fractions. fo...
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Wed, 19 Sep 2018 06:31:04 +0000
least common denominator of both fractions. for this problem it would be 4. 2/4 + 3/4 = 5/4.

From sepia: 1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 1/4
= 1.25
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Tue, 18 Sep 2018 09:49:43 +0000
1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 1/4
= 1.25

From Jackie C: 1/2+3/4 = 2/4+3/4 =5/4 1 1/4
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Sun, 16 Sep 2018 21:57:56 +0000
1/2+3/4 = 2/4+3/4 =5/4 1 1/4

From vaibhav: To add 1/2 and 3/4, the fractions must first b...
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Tue, 11 Sep 2018 12:31:46 +0000
To add 1/2 and 3/4, the fractions must first be changed to the least common denominator of 4
Because
1/2 + 3/4
= 2/4 + 3/4
= 5/4

From lenpol7: 1/2 = 2/4
2/4 + 3/4 =
5/4 =
1 1/4
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Mon, 10 Sep 2018 16:22:38 +0000
1/2 = 2/4
2/4 + 3/4 =
5/4 =
1 1/4

From RR: It means the lowest number that is divisible b...
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Mon, 10 Sep 2018 07:24:55 +0000
It means the lowest number that is divisible by both of them:
2 is divisible by 2 but not divisible by 4
6 is divisible by 2 but not divisible by 4
8 is divisible by 2 and also divisible by 4. It would work but it's not the lowest
4 is divisible by 2 and also divisible by 4. It's the lowest number that works.

From charlatan: not "least common denominator",but
...
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Sun, 16 Sep 2018 11:27:17 +0000
not "least common denominator",but
"least common MULTIPLE OF denominatorS"(LCM in popular parlance)
easier way would be to multiply all denominators.
and follow the method listed below
(a/b)+(c/d)+(e/f)
([a*d*f]/bdf)+([c*b*f]/bdf)+([e*b*d]/bdf)
try this for practice. (1/3)+(4/7)+(5/9)

From Brianna: What you have to do is multiply the fractions ...
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Sun, 16 Sep 2018 01:41:48 +0000
What you have to do is multiply the fractions with the other denominator so you multiply 1 and 2 by 4 which is 4/8 and then multiply 3 and 4 by 2 which is 6/8 after you add it tho you must convert it into an mixed number the final answer would be 1 2/8 if you want to put it to simplest form it would be 1 1/4

From SumDude: 2. 1/2 + 1.5/2 = 2.5/2 TWO, FOUR, SIX, EIGHT...
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Tue, 11 Sep 2018 04:24:45 +0000
2. 1/2 + 1.5/2 = 2.5/2 TWO, FOUR, SIX, EIGHT, who do we appreciate?  Math teachers !

From Anonymous: 7.
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Mon, 10 Sep 2018 15:36:08 +0000
7.