In adding and subtracting fractions with unlike denominators, you have to get a least common denominator which is exactly like the least common multiple it just so happens to be in the denominator.
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Least common denominator (LCD) think about it

In this video I will explain how to identify the least common denominator between two fractions and then between two rational expressions. We will use the same technique and understanding of factors ...
NEW YORK--(BUSINESS WIRE)--Common Denominator (formerly known as Top Honors), a New York City-based non-profit that provides free 1:1 math tutoring to middle-schoolers from the city’s underserved ...
In almost every equation, one can find a common denominator. Although it may seem a bit counterintuitive, even opposites have something in common. Consider how the cultures of middle Eastern countries ...