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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.

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the same common denominator, and the sum of

the numerators is 2x+5x or 7x, .. sum of the

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In this example the first fraction is reduced to one having the same denominator as the other, by multiplying its numerator and denominator

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In this example, and in similar cases, it is frequently more convenient and simple only to ex

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17. Add together the fractions

5x

9

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4,

2' 3'

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4

1

3x

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X-M x+m

x+y x-y

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SUBTRACTION OF FRACTIONS.

42. Rule.-Reduce the fractions to a common denominator, if they have not already one; then the difference of the numerators placed over the common denominator is the difference of the fractions.

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