REDUCTIOK. 4i 



ll. When the reduction is from a less name to a greater. 



Divide the given nmiiber by as many as make one of the 

 next superior denomination ; and this quotient again by as 

 many as make one of the next following ; and so on, 

 through all the denominations to the highest ; and this last 

 quotient, together with the several remainders, will be the 

 answer required. 



The method of proof is by reversing the question; 



EXAMPLES. 



I. In 1465I. 14s. 5d. how many farthings .^ 

 20 4)1407092 



29314 ^2)351773 



12 



2,0)2931,4 s 



35^113 



4 Proof 1465I. 14s. 5d. 



1407092 the answer. 

 ^2. In 12I. how many farthings? Ans. 11520^ 



3. In 6169 pence how tnany pounds ? 



Ans. 25I. 14s. id. 



4. In 35 guineas how many farthings sterling ? 



Am, 35280. 



5. In 420 quarter guineas how many moidores ? 



Ans. 81 and i8s. 



6. In 23 ll. i6s. how many ducats at 4s. 9d. each ? 



Ans. 976. 



7. In 274 marks, each 13s. 4d. nnd 87 nobles, each 6s. 

 8d. how many pounds ? Ans. 21 il. 13s. 4d. 



8. In 1 776 quarter guineas how many six-pences sterling ? 



Ans. 18648. 



9. Reduce 1776 six and thirties to half-crowns sterling. 



Ans. 25574f. 



10. In 50807 moidores how many pieces of coin, each 



4s. 6d, ? Ans. 304-842. 



^ II. Itt 



