V^ ARITHMETIC. 



5 



EXAMPLES. 



X.' Reduce ~, y and -|-, to fractions, having the least 

 common denominator possible. 



6 



I X 1 X I X 2 X 3=6 least common denominator. 

 6-?-2Xi=3 the first numerator; 6^3x2=4 the second 

 numerator 5 6'^6xs=?.5 the third numerator. 



Whence tly^ required fractions are |-, ^, I-. 



2. Reduce -^ and — to fractions, having the least cona- 

 nr.on denominator. Ans. 4-^, 4-^. 



3. -Reduce ~y 4, ^ and ^, to the least common denomi- 

 nator. ^ Ans. ^, -V> TT» ^T. 



4. Reduce y, -|-, -|- and ^, to the least common denom- 

 inator. Ans. 4^, --, i-^, Ai.^ 



5. Reduce 4-, -^-, |, X, 2-i. and —;-, to equivalent frac- 

 tionsj having the least common denominator. 



•^"S. -^^-g-, -^-^, ^^, ^^, -^-g., •^. 



CASE VII. 

 ^o/i;id the value of a fractioji in the hi oivn parts of the integer,, 



Multiply the numerator by the parts in the next inferior 

 denomination, and divide the product by the denominator; 

 and if any thing remain, multiply it by the next inferior 

 dcnomiiiation, and divide by the denominator as before ; 

 and so on as far as necessary ; and the quotients placed ^f- 

 ter one iuiotlier, in their order, ".vill be the answer required. 



EXAMPLES. 



* The numerator of a fraction may be considered as a remain- 

 der, and the denominator as a divisor ; therefore this rule hajS Its 

 reason in the nature of compound division. 



