50;^ ALGEBRA. 



PROBLEM V. 



iTo reduce fractions to a common denojninater^ 



RULE- 



Multiply each numerator into all the denprninators scv^ 

 erally, except its own, for the new numerators ; and al| 

 the denominators together for the common denominator, 



EXAMPLES, 



t. Reduce -f- and — to a common denominator. 

 be 



a'^c zr ac 7 



the new numerators. 



h^c m Ic the common denominfitor. 



and ■ — =:_— and ~ 

 b 



tions required. 



Therefore ~ and — nz^— and ^ respectively, the frac^ 



2. Reduce — , — and — , to a common denominator* 

 o c d 



nXrXd—zacd ^ 



hy(^hY.d zzzi b^ d > the numerators. 



cXbXc =12 c' I? J 



hyicy^d zz=z hcd the common denominator. 



ah , (7 acd h' d 



1 



ly, the fractioiiS n-^uircd. 



Thereiore -7-,— and --~: ----, ---- and -7-7 respectivc- 



d bed bed bed 



3. Reduce - 



