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This follows from the way in which addition and multiplication are defined. Addition requires like terms, multiplication does not. Incidentally, "like terms" are also required for adding algebraic terms but not for multiplying.

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โˆ™ 2016-10-18 11:47:29
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Q: Why do you need the lowest common denominator for adding but not multiplying fractions?
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Why don't you have to find a common denominator when multiplying fractions?

Multiplying fractions is quite different from adding them. You just multiply the numberators and the denominators separately. You can find the common denominator if you like, but in the end (after simplifying), you'll get the same result, and the additional work of finding the common denominator and converting the fractions turns out to be unnecessary. Try it out for some fractions!


How do you solve all fractions problems?

You basically have to learn separately how to do different things with fractions, including finding a common denominator; converting fractions to a different denominator; simplifying fractions; adding and subtracting fractions; multiplying fractions; dividing fractions.


Do you need a common denominator multiplying fractions?

No.


When you are multiplying fractions do you find the common denominator?

no


How can knowing the LCM help you add subtract and multiply fractions?

When adding and subtracting unlike fractions, it is necessary to find the LCM of the denominators, called the least common denominator. Once you have found the LCD, you can convert the fractions to equivalent fractions with a common denominator and proceed with the adding and/or subtracting. Finding an LCM will have no effect on multiplying fractions.


Do you need a common denominator for dividing fractions?

No only when adding or subtracting fractions a common denominator is needed


How is multiplying fractions different from adding fractions?

When multiplying fractions, the numerators (top numbers) are multiplied together and put as the numerator over the denominators (bottom numbers) multiplied together.When adding fractions, they must both have the same denominator - the fractions are made into equivalent fractions with a common denominator; then the numerators are added together and put over the same common denominator.In both cases of multiplication and addition, the resulting fractions are reduced to simplest form.


Do you need a common denominator for dividing and multiplying fractions?

No you do not.


How do you minnous fractions?

To subtract fractions with like denominators, subtract the numerators , and write the difference over the denominator. Example : Find 45โˆ’25 . Since the denominators are the same, subtract the numerators.


What is the rule for adding fractions?

They have to have a common denominator


What extra step will you have to perform if you do not use the least common denominator when adding fractions?

To add fractions, you have to find their common denominator by multiplying the two denominators together and one of the numerators to the others. Then you add just the top numbers together.


Why do you have to have a common denominator?

A common denominator is needed when adding or subtracting fractions of different denominators.


What is halfway between 1 over 4 and 1 over 2?

Just add the fractions, and divide by 2. Before adding, you have to convert to a common denominator; in this case, you can use "4" as the common denominator.Just add the fractions, and divide by 2. Before adding, you have to convert to a common denominator; in this case, you can use "4" as the common denominator.Just add the fractions, and divide by 2. Before adding, you have to convert to a common denominator; in this case, you can use "4" as the common denominator.Just add the fractions, and divide by 2. Before adding, you have to convert to a common denominator; in this case, you can use "4" as the common denominator.


Where is a denominator used?

Many places, but a common one is in adding fractions where we find a common denominator.


Does division need a common denominator?

No, You only need a common denominator when adding or subtracting fractions.


Do you need a common denominator when adding fractions?

yes


When adding or subtracting fractions you must get a?

A Common Denominator


Do you need common denominator when adding fractions?

Yes.


How is subtracting fractions like adding fractions?

You need a common denominator for both.


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 multiplying fractions when they have same common denominator do you multiply the denominators?

YES.


Do you have to find a common denomiter in dividing fractions?

No, you only need a common denominator when adding or subtracting fractions.


What do you do if you are adding three fractions?

Find a common denominator and proceed.


When adding fractions what you always must do is find the?

Common denominator


What is always needed when adding and subtracting fractions?

a common denominator