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# When is it necessary to find the least common denominator of two rational expressions?

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When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process? Give an example.
use the following.

4x-5/x-4+1-3x/4-x

https://brainmass.com/math/basic-algebra/least-common-denominator-two-rational-expressions-495156

#### Solution Preview

If you plan to do addition or subtraction of two rational expressions that have different denominators, then it is necessary to find the least common denominator (LCD) of two expressions in order to merge to a single expression.

For instance, if you want to simplify (x-5)/(x+4) - (x+2)/x, then you may need to find the LCD of (x+4) and x. This is easy, ...

#### Solution Summary

The least common denominator of two rational expressions are examined.

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