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The Advantages of Using the Least Common Denominator When Adding & Subtracting Denominators. Part of the series: Adding and Subtracting Fractions. Using the least common denominator when adding and subtracting fractions certainly has its fair share of advantages over other methods. Learn about the advantages of using the least common denominator when adding and subtracting denominators with help from a longtime math teacher in this free video clip. Read more: http://www.ehow.com/video_12213868_advantages-using-least-common-denominator-adding-subtracting-denominators.html