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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).

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