By Art. 154, we may change the sign of the factor y − x in the second denominator, at the same time changing the sign before the fraction; and we may change the signs of both factors of the third denominator. The expression then becomes The L.C.D. is now (x-y) (x − z) ( y − z). Hence the We have therefore the following rule for the multiplication of fractions: Multiply the numerators together for the numerator of the product, and the denominators for its denominator. Mixed quantities should be reduced to a fractional form before applying the rule. Common factors in the numerators and denominators should be canceled before performing the multiplication. We observe that the quotient is obtained by multiplying d the dividend,, by, which is the divisor inverted. have then the following rule for the division of fractions: Invert the divisor, and proceed as in multiplication. We Mixed quantities should be reduced to a fractional form before applying the rule. If the divisor is an integer, it may be written in a fractional form, as explained in Art. 143. |