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cessively, and the sum of the particular products will be the preduct required.
18.—If one of the factors be a fraction, multiply its numerator by the other factor, and place the product over the given denominator.
30 1 2ab
X4b= = I20 b
19.—If both factors be fractions, multiply their numerators for the numerator of product, and cir denominators for
the denominator of the product. If the same letters occur in both numerator and denominator, they may be expunged without altering the value.
20.- Place the dividend in the form of a numerator, and the divisor in that of a denominator ; expunge like quantities from both, and divide the coefficients by the greatest common measure. Like signs give +, unlike give
21. Powers of the same root are divided by subtracting their exponents.
22. If the dividend be a compound quantity, all its parts must be arranged according to the dimensions of fome of its letters; the divisor also must be arranged according to the dimensions of the same letters: Then divide the first term of the dividend by the first term of the divisor; if compound, multi
ply the whole divisor by the quotient ; from the dividend subtract the product, and the remainder shall give a new dividend ; then proceed as before.
23. It sometimes happens that the operation may be continued without end, in which case the quotient is called an infinite feries.