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You cannot add fractions with different denominators because they do not represent the same size parts of a whole. (A half is larger than a third, so you cannot add them together as equals until they are expressed with the same denominator.)

When fractions have like denominators, we add the numerators and place them over the denominator, for example:

2/7 + 3/7 = (2 + 3)/7 = 5/7

We can add fractions with unlike denominators by finding their "least common denominator". For example: 2/3 + 5/6 can both be expressed in terms of a least common denominator (6). Multiply the numerator and denominator by the same number to convert the fraction.

2/3 + 5/6 -- multiply the numerator and denominator of 2/3 by 2, and 2/3 = 4/6

4/6 + 5/6 = 9/6 or 11/2

Another example : a common denominator for 3/4 and 1/5 would be 20

and 3/4 = 15/20 [ (3 x 5)/(4 x 5) ]

while 1/5 = 4/20 [ (1 x 4)/(5 x 4)

So 3/4 plus 4/5 would become 15/20 + 4/20 = 19/20.

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1w ago

When adding fractions with unlike denominators, the fractions represent different-sized pieces, making them incompatible for direct addition. In order to add fractions, the denominators must be the same to ensure that the pieces being added are of equal size. To add fractions with unlike denominators, you must first find a common denominator by identifying the least common multiple of the denominators and then adjust the fractions accordingly to have the same denominator before performing the addition.

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Q: Why can't you add fractions with unlike denominators?
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Related questions

When you add or subtract fractions with unlike denominators why do you have to find LCM?

Because to add fractions, the denominators must be equal.


How is adding like fractions and adding unlike fractions the same?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.


Adding unlike fractions?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.


When adding fractions with unlike denominators it is most helpful if the fractions are renamed using the?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.


How does using fraction strips with like denominators make it possible to add fractions with unlike denominators?

because they are the same number


Explain why you cannot add fractions with unlike denominators?

You can totally add fractions with unlike denominators. You have to first find the LCD (least common denominator) to make them the same denomintars. And then you can just simply add them. What you cannot do is add fractions with unlike denominators without changing them to fractions with like denominators. The reason being that you would be attempting to add fractions that are different sizes. 1/2 is not the same size as 1/3, so it would be like trying to add apples and oranges. You have to change them to a common size and that is the reason you have to find the least common denominator first. While you cannot add 1/2 and 1/3, you can add 3/6 and 2/6.


Why can't you add or subtract fractions that have different denominators?

YOU JUST CANT....go on you try it


How does the least common multiple of two numbers help you add fractions?

When adding unlike fractions, find the LCM of the denominators and convert them to it.


Why do fractions need to have unlike denominator before you add or subtract them?

The question is based on a complete misunderstanding of what is required. Unlike denominators are NOT required!


Do you add denominators in fractions?

No.


How do you add three fractions with unlike denominators?

-- Find a common denominator. (It will be a number of which all three denominators are factors. The best choice is their least common multiple.) -- Change the fractions to their equivalents with the common denominator. -- Then add their numerators to get the numerator of their sum.


How do you add or subtract fractions with unlike denominators?

convert at least one of them so that they have the same denominator, then proceed with the addition or subtraction