ADDITION OF FRACTIONS. 41. Rule.-Reduce the fractions to a common denominator, if they have not already one; then, the sum of the numerators placed over the common denominator is the sum of the fractions. Note.-The fraction thus obtained for the sum of the given fractions, should be reduced to its lowest terms; otherwise, it is evidence of either carelessness or want of skill, or of both; and the same remark equally applies to every operation in which fractions occur, that are capable of being reduced to more simple ones. the same common denominator, and the sum of the numerators is 2x+5x or 7x, .. sum of the In this example the first fraction is reduced to one having the same denominator as the other, by multiplying its numerator and denominator In this example, and in similar cases, it is frequently more convenient and simple only to ex |