1 10 ARITHMETIC. 



when neither of these modes is adopted, reduce the com- 

 pound terras, each to the lowest denomination mentioned 

 in it, and the first and third to the same denomination ; 

 then will the answer be of the same denomination with 

 the second term. And the answer may afterward be 

 brought to any denomination required. 



Note 2. When there is a remainder after division, re- 

 duce it to the denomination next below the last quotient, 

 and divide by the same divisor, so shall the quotient be so 

 many of the said next denomination ; proceed thus, as 

 long as there is any remainder, till it is reduced to the low- 

 est denomination, and all the quotients together will be 

 the answer. And when the product of the second and 

 third terms cannot be divided by the first, consider that 

 pro<luct as a remainder after division, and proceed to re- 

 duce and divide it in the same manner. 



Note 3. 



Note, The meaning of these phrases, " if more require more, 

 kss require less," Sec. is to be understood thus : more requires 

 moref when the third term is greater than the first, and requires 

 the fourth to be greater than the second ; more requires ksSf when 

 the third term is greater than the first, and requires the fourth to 

 be less than the second ; less requires more, when the third terra is 

 Jess than the first, and requires the fourth to be greater than the 

 second ; and less requires /ess, when the third term is less than the 

 first, and requires the fourth to be less than the second. 



RULE. 



1. State and reduce the terms as in the rule of three direct. 



2. Multiply the first and second terms together, and divide their 

 product by the third, and the quotient is the answer to the ques- 

 tion, in the same denomination you left the second number in. 



The method of proof, whether the proportion be direct or in- 

 verse, is by inverting the question. 



EXAMPLE. 



