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In order to add or subtract fractions, they must have the same denominator.

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โˆ™ 2012-11-18 23:30:54
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Q: How are fractions under addition?
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Are sets of fractions closed under addition?


Why are fractions closed under addition?

For a set to be closed under any operation, the result of the operation must also be a member of the set. The result of adding fractions is another fraction, thus it is closed under addition. Remember that 8/3, 8/4, 4/4, 2/1 are all fractions - they have a numerator and denominator separated by a line (at an oblique angle on the computer screen). Improper fractions are still fractions.

How do you add fractions in matrices?

The usual rules of addition of fractions apply.

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 Proper fractions that have the same denominator in addition or subtraction are called?

like fractions

How do you add fractions with unlike denometiors?

You look for a common denominator; convert the fractions to equivalent fractions with the denominator you found; then you do the addition itself.

Why change mixed numbers to improper fractions?

For addition, subtraction, division and multiplication with other fractions

When you add fractions you are finding their?

The answer to an addition is called the sum. Fractions and other numbers.

What is the meaning of addition and subtraction of similar fraction?

Similar fractions are fractions with the same denominator. In order to add or subtract fractions they need to be similar.

Why is it inaccurate to simplify add the numerators if two fractions with unlike denominator?

Because that is not how addition of fractions is defined.

What are the rules for fractions?


Are the sets of positive fractions closed for addition?


Does the Commutative Property apply to addition of fractions?

Yes, it applies to even multiplication of fractions and rational and irrational numbers.

Fractions least to greatest?

It's impossible to list all fractions, because there are no least or greatest fractions. In addition, between any two fractions, there's another fraction (for example, the average of the two functions).

When should you use addition to solve a problem involving fractions?

you should use addition in a problem involving fractions if you see key words that mean to add, for example sum increase, altogether, etc

Why do you convert unlike fractions?

Unlike fractions have denominators that are unequal, and therefore cannot be added or subtracted. If two fractions need to be added or subtracted they must first be converted to like fractions.

What is the purpose of finding an LCM?

It assists in the proper addition and subtraction of fractions.

Addition of fractions?

find a common denominator. Then just add across.

What are the steps to subtracting fractions?

Same as for addition. Mainly, you have to convert the fractions to equivalent fractions that have the same denominator. After that, it is easy: just subtract the numerators and put the result on top of the common denominator.

Why is it important to learn about equivalent fractions?

Answer: When adding or subtracting fractions with different denominators it is important to change the denominators into the lowest common denominator by using equivalent fractions. Answer: Equivalent fractions are used to: * Simplify fractions. It is sort of inelegant to write the final solution of a problem as 123/246, when you can just as well write it as 1/2. * Add fractions. If two fractions have different denominators, you need to convert them to equivalent fractions that have the same denominator. Only then can you add. * Subtract fractions (same as addition). * Compare fractions, to check which one is larger (same as addition).

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.

What are some examples of real life situations where addition of fractions are used?


In order to perform this opertation fractions must have the same denominators?

Addition or subtraction

What is the name of the answer of f a adding fractions?

The answer to any addition problem is called the Sum.

Is rational number is a cyclic group under addition?

No Q is not cyclic under addition.

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