Information about Least Common Denominator Chart

It is usually easiest to add, subtract, or compare fractions when each is expressed with the same denominator, called a "common denominator". For example, the numerators of fractions with common denominators can simply be added, such that 512+612=1112{\displaystyle {\frac {5}{12}}+{\frac {6}{12}}={\frac {11}{12}}} and that 512<1112{\displaystyle {\frac {5}{12}}<{\frac {11}{12}}}, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 512+1118{\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 512{\displaystyle {\frac {5}{12}}} is greater than or less than 1118{\displaystyle {\frac {11}{18}}}. Any common denominator will do, but usually the lowest common denominator is desirable because it makes the rest of the calculation as simple as possible.

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