FRACTIONS Review of Introductory MathematicsExample:10564153216would require the denominator to be equal to 64 x 32 x 6 = 12,288. This kind of number is veryhard to use.In the earlier examplewas shown to equal138661824183018.You notice that both 30 and 18 can be divided by 6; if this is done:30 ÷ 618 ÷ 653By doing this we arrive at a smaller and more useful number: takes the place of .533018The sum of two or more fractions reduced to its simplest form contains the smallest possibledenominator common to both fractions. This denominator is called the least commondenominator (LCD).Example:131618Using trial and error we can find that 24 is the LCD or smallest number that 3, 6, and 8 will alldivide into evenly. Therefore, if each fraction is converted into 24^{ths}, the fractions can be added.1388164418338244243241524MA-01 Page 30 Rev. 0

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