Page:Encyclopædia Britannica, first edition - Volume I, A-B.pdf/497

 ARITHMETIC K. 4T5 Next divide this fra&iond numerator Ex. 2. At 6 s. 8 d. what coll 439 ? L. /. d. 358900000 by the denominator ; which is done by The decimal of the is 3)439(146.3'= 146 6 8 3589 multiplying 3589 by 99999, as in the mar- rateMeth. II. When the rate confilts of pence and fargin ; and now the Ample vulgar fraction 358896411 be annexed to the partial quot is things, find how often it is contained in one pound Sterling, divide the given number of goods by this number, If the quot TTwaiarT-rthus completed be multiplied by the divi- or by its component parts, or work by aliquot parts, and the refult will be the price fought. for, it will produce the dividend. We confine this method to fuch rates as confifl of pence and farthings, becaufe when the rate confills of VII. Decimal Prafiice. (hillings, pence, and farthings, or of pounds, (hillings, The price of goods or merchandife may be callup pence, fee. it is (horter and eafier to work by Medecimally by any of the methods following. thod I. Me thou I. Find the decimal of the rate, viz. the To make the pradiice ready and eafy, it will be provalue of one yard, one pound, one piece, fee. ; and this per to have at hand a table of rates and divifors, fuch asdecimal of the rate multiplied into the number or quan- the following, one. tity of the goods gives the price. £x. 1. At 3 s. 4 d. what coll 346 ? The decimal of the 346 rate is = 15 •1730 346 L. s. S1°) 519^ (57' $ = 57 13 45 * 69: 63 60 54 Table of Rates and Divisors. l Earth. 3 Earth. 2 Earth. Divif Divif. Divif. Divif 8,40. 8,60.0i 3,8,40. 6,40. 8,6,4. 4,30,—8. 4»4 4,30. 80,—12. 4,30,4-4. 4,3°,+8. 80. 8o,+ i2. 8o,+6. 80,+4. ■6 O'. 60,+4 of 4, 60+8+2 of 8. 60+8. 40,—8. 6,8. 40—12. 40—4 of 6. 40. 40+4 of 6. 40+8. 40+12. 40+6. 40+6-J-4 of. 6. 40+4. 40+4+6 of 4. 30+4 of. 8. 30+2 of 8. 8o,X3,—12 of 80; 3°8o,X3. 80,X3,+ 12 of 80. 8o,X3,+6 of 80. 3o,X3,+4 of 80. 40, + 2, + 2,+6. 8,3. 30,+4,+8 of 4. 20,—8. 40,X2,—8 of 40. 40vX-2,—12 of>4Q. 8,3,+5,—8 of .5 In the-above table the pence Hand in the left-hand Divide the number of goods by 4, dividecolumn, and the farthings on .the head, and the divifors the4,30,—8. quot by 30, and-from this lafl: quot fubtraft one 8th. in the angle of meeting ; which are to be underftood and of itfelf. read as follows. 80+12. To an 80th add a 12th of that 80th. 3,8,40. Divide the given number of goods by 3, 4>30,+4. To a i 30th of a 4th add a 4th of 'that divide the quot by d, and again divide this laft quot by 40.- 30th. 6o»,