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REDUCTION ASCENDING.

RULE.

Divide the lowest denomination given, by so many of that name as make one of the next higher, and so on through all the denominations, as far as your question requires.

PROOF. Multiply inversely by the several divisors.

EXAMPLES.

1. In 224765 farthings, how many pence, shillings and pounds ?

Farthings in a penný = 4)224765
Pence in a shilling = 12)56191 1
Shillings in a pound = 2109468|2 7d.

6234 2s. id. Igr.

Ans. 56191d. 46828. 2541. Note. The remainder is always of the same name as the dividend. 2. Bring 30529 farthings into pounds!

Ans. £31 11s. 10d. Igr. 3. In 44447 farthings, how many pounds !

Ans. 646 5s. 1.1d. Surs. 4. In 59136 farthings, how many pence, shillings, and pounds ?

Ans. 14784d. 1232s. £67 125. 5. In 20160 pence, how many shillings and pounds ?

Ans. 1680s. or £,84. 6 In 900 farthings, how many pounds ?

uns. 60 18s. 9d. 7. Bring 74981 half-pence into pounds:

Ans. £156 4s. 21d. 8. In 245648 farthings, how many dollars at 6s. each:

Ans. $846. 9. Reduce 13776 pence to guincas, at 28s. per guiner.

. Ans. 41 Il 10. In 62304 farthings, how many pistoles, at 298. Lachs

Ans. 59.

11. In 7104 three-pences, how many half-johannes, at 48s.

Ans. 37. 12. In 38720 farthings, how many French crowns, at 68. 8d.

Ans. 121.

Reduction Ascending and Descending.

1. MONEY. 1. In 1211. Os. 9fd. how many balf-pence?

Ans. 58099 2. In 58099 half-pence, how many pounds i.

Ins. 1211. Os. 9 d. 3. Bring 23,60 half-pence into pounds. Ans. £,49 10s.

4. In 2141. 15. 311.' how many shillings, six-pedices, three pences, and farthings: Ans. 4818. 8562 sir.

pences, 17125 three-pences, and 205300 farthings. 5. In 1971. how many pence, and English or French crowns at @s. 811. each ? Aus. 328800. 411 croins.

6. In 249 English half-crowns, how many pence and pounds :

Ans. 9960d. and 441 10s. 7. In 346 guineas, at 21s. each, how many shillings, groats and pence? Ans. 72665, 21:98 gr'ts and 871921. 8. In 48 guineas, at 28s. each, how many thil. pieces ?

Ans. 3584 9. In 81 guineas, at 27s. 40. each how many pounds ?

Ans. [110 14s. to. In 24596 pence, how many shilings, pounds and pistoles ? Àns. 20335. £101 13s. and 92 pistoles.

9s. Olpr,. 11. In 252 moidores, at 36s each, how many guirreas at 28s. each ? .

Ans. 327. 12. In 1680 Dutch guilders, at 2s. 4d. each, how many pistoles at 22s. cach:

Ans. 178 pistoles, 45. 13. Borrowed 1248 English crowns, at 6s. 8il. each, how many pistareens, at 14d. cach will pay the debt?

Ans. 6885 pistarepns and; 14. In 501. how many shillings, nine-pences, si ces, four-pences, and pence, and of each an equal im - 12d. +91 +6d. 1d.+ 1d. =321. and !

. 120000-S2-$75 !!

EXAMPLES IN

REDUCTION OF FEDERAL MONEY.

1. Reduce 2745 dollars into cent3. 2745 dollars . Here I multiply by 100, the 100 cents in a dollar; but dollars are

>readily brought into cents by an. Ans. 274500 n exing two cyphers, and into mills

- J by annexing three cyphers. Also, any sum in Federal noney may be written down as a whole number and expressed in its lowest denomination ; for, when dollars and cents are joined together as a whole number, without a separatrix, they will shew how many cents the given sum contains; and when dollars, cents, and mills are so joined together, they will shew the whole nuniber ou mills in the given sum.-llence, properly speaking, there is no reduction of this monry ; for cents are readily turned into dollars by cutting off the two right hand figures, and mills by pointing off three figures with a dot; the figures to the left hand of the dot, ar? dollars ; and the figures cut of are cents, or cents and milis. 2. In 345 dollars, how many cents and mills ?

Ans. 34500cts. 345000 mills. 3. Reduce 48 dols. 78 cts. into cents. Ans. 4878 4. Reduce 25 dols. 8 cts, into cents. Ans. 2508 5. Reduce 54 dols. 36 cts. 5m. into mills. Ans 54365 6. Reduce 9 dols. 9 cts. Im. into mills. Ar«, 2099

$. cts. 7. Reduce 41925 cents into dollars. Ans. 419 25 8. Change 4896 cents into dollars. . .48 96 9. Change 45009 cents into dollars.

450 09 10. Bring 4625 mills into dullars.. ., 4 625

2. TROY WEIGHT

? ' 8. Flow many grains in a silver sankard, that reichs

11 02 15 pwt. ?

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. 4. APOTHECARIES' WEIGHT. 4. 1 In 91 83 13 23 19grs. how many grains. res,

Ano. 53799. by be In 55799 grains, how many pounds ?

Ans. 97ts &Z 13 22 1987

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