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It is the lowest common multiple of the different denominators.

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9y ago
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6y ago

the lowest common multiple, the smallest common multiple, the LCM

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Q: What makes the least common denominator the most efficient common denominator in addition o subtraction?
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Related questions

Why do you have to find a common denominator?

Addition or subtraction of fractions require "like" fractions: that is, fractions with the same denominator.


What operations of rational expressions require a common denominator?

addition and subtraction, you dummy


When dividing fractions do need a common denominator?

No. Common denominators are needed for addition and subtraction, not multiplication or division.


What are the basics to math?

What is the least common denominator for 7/8 + 3/4


Why do you need to have a common denominator before you subtract or add them?

Because addition and subtraction are defined in terms of like terms.


Which operations don't require a common denominator?

Addition and subtraction are the only fraction operations that need a common denominator. Multiplication, division, and exponents do not need a common denominator. In fact, it is best to use reduced fractions otherwise it gets very messy.


Does every step in addition and subtraction of different denominators have a mathematical concept involved?

Yes because they must all have the same denominator and this is found by working out their lowest common denominator.


Do you have to have a common denominator when you are adding fractions?

Having a common denominator makes it easier to add or subtract fractions. You can also convert fractions to decimals and then do the addition or subtraction but that is really the same thing as having a common denominator of 10. 100. 1000. etc. Without a common denominator, you would have to mentally make adjustments for the values of fractions. Of course, that is really establishing a common denominator in your head.


What is the smallest common multiples is called?

It is usually called the least common multiple. But it can also be called the least/lowest common denominator when it is used for addition or subtraction of rational fractions.


What else Could you call the least common multiple in addition or subtraction problem involving fractions?

If you apply it to the denominators, you could call it the least common denominator.


How do you use greatest common factor with addition and subtraction of fractions?

You don't. You use the GCF to reduce the answer once the addition or subtraction is complete.


How do you subtract fractions in simplest form?

You first need to find a common denominator, not necessarily the least common denominator. Next, you rename the fractions according to the common denominator. Only then can you subtract the fractions. After subtraction you should simplify the answer.