nP-ACTlONS. 297 



5j5 l-^X . . . , 



^. Having -5^ T-- - T" given, it is required to reduce 



:t to its least terms. 



or fc-{-b )x''+2hx-\'b*{^X'^h 

 x^ -^ bx 



bx-^-b^ 



p. """^ 



Therefore X'\-b is the greatest common measure, i^nd 

 ;4-.5) '^-^- -— (^- ;- is the fraction required. 



2. Reduce -vT-TT-T to its lowest terms. Ans. — ' — . yf^ 



x^-> — y* I 

 4. Reduce — — ^ to its lowest terms. Ans. . 



^A ^4. 



c. Reduce -j r r to its lowest terms. 



Ans. — ^ — , 



IPROBLEM III. 



^'o reduce a mixed quantity to an Improper fraction. 



RULE. 



Multiply the integer by the denominator of the fraction, 

 and to the product add the numerator ; then the dcno ni* 



nator 

 O o 



