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EXAMPLES.

1. Reduce 12 s. 6d. 3 qrs. to the decimal of a pound

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2. Reduce 15s. 9d.. 3 qrs. to the decimal of a pound.

Ans. ,790625

3. Reduce 9d. 3 qrs. to the decimal of a shilling.

Ans. ,8125

4. Reduce 3 farthings to the decimal of a shilling.

Ans. ,0625 5. Reduce 3s. 4d. New-England currency, to the deci mal of a dollar. Ans. ,555555+ 6. Reduce 12s. to the decimal of a pound. Ans. ,6 NOTE.-When the shillings are even, half the number with a point prefixed, is their decimal expression ; but if the number be odd, annex a cipher to the shillings, and then by halving them, you will have their decimal expression.

7. Reduce 1, 2, 4, 9, 16 and 19 shillings to decimals.

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e. What is the decimal expression of 4l. 19s. 6d. ?

Ans. £4,97708+

9. Bring 341. 16s. 73d. into a decimal expression.

Ans. £34,8322916+

10. Reduce 357. 19s. 51d. to a decimal.

Ans. £25,972916+

11. Reduce 3 qrs. 2 na. to the decimal of a yard. Ans. ,875 12. Reduce 1 gallon to the decimal of a hogshead.

Ans. ,015873+ 13. Reduce 7 oz. 19 pwt. to the decimal of a lb. troy. Ans. ,6625 14. Reduce 3 qrs. 21 lb. avoirdupois, to the decimal of a cwt. Ans. ,9375

15. Reduce 2 roods, 16 perches, to the decimal of an acre. Ans.,6

16. Reduce 2 feet 6 inches to the decimal of a yard. Ans. ,833333+ 17. Reduce 5 fur. 16 po. to the decimal of a mile. Ans.,675 18. Reduce 41 calendar months to the decimal of a year. Ans. ,375

CASE III.

l'o find the value of a Decimal in the known parts of the Integer.

RULE.-1. Multiply the decimal by the number of parts in the next ess denomination, and cut off so many places for a remainder, to the right hand, as there are places in the given decimal.

2. Multiply the remainder by the next inferior denomination, and cut off a remainder as before; and so on through all the parts of the integer, and the several denominations standing on the left hand nake the answer.

EXAMPLES.

1. What is the value of ,5724 of a pound sterling?

£,5724
20

11,4480

12

5.3760

[Carried up.

REDUCTION OF CURRENCIES.

RULES for reducing the Currencies of the several United States into Federal Money.

CASE I.

To reduce the currencies of the different states, where a dollar is an even number of shillings, to Federal Money.

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RULE.-1. When the sum consists of pounds only, annex a cipner to the pounds, and divide by half the number of shillings in a dollar, the quotient will be dollars.t

2. But if the sum consists of pounds, shillings, pence, &c. bring the given sum into shillings, and reduce the pence and farthings to a docimal of a shilling; annex said decimal to the shillings, with a decimal point between, then divide the whole by the number of shillings contained in a dollar, and the quotient will be dollars, cents, mills, &c.

EXAMPLES.

1. Reduce 731. New-England and Virginia currency,

Federal money.

2. Reduce 451. 15s. 74d. New-England currency, to fed

20

A dollar-6)915,625

$152,604+

3)730
$2431-243 331

cts.

[ral money.

d.

12)7,500

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* Formerly the pound was of the same sterling value in all the colonies as in Great-Britain, and a Spanish Dollar worth 4s. 62.-but the legisla tures of the different colonies emitted bills of credit, which afterwards de preciated in their value, in some states more, in others less, &c.

Thus a dollar is reckoned in

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North Carolina,

8s|

fAdding a cipher to the pounds, multiplies the whole by 10, bringing them into tenths of a pound; then because a dollar is just three tenths of pound, N. E. currency, dividing those tenths by S, brings them into dollas cia &c. See Note, page 78.

2

NOTE. 1 farthing is,25) which annex to the pence, and ,50 divide by 12, you will have the 75) decimal required.

3

=

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3. Reduce 3457. 10s. 114d. New-Hampshire, &c. currency, to Spanish milled dollars, or federal money.

£345 10 111

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$1151,8229+ Ans.

4. Reduce 1057. 14s. 33d. New-York and North-Carolina currency, to federal money.

£105 14 33
20

A dollar-8)2114,3125

$264,289 06 Ans.

Or $ dcm.

d

12)3,7500

,3125 decimal.

5. Reduce 4311. New-York currency to federal money. this being pounds only,*

4)4310

cts.

Ans. $10771=1077,50

6. Reduce 281. 11s. 6d. New-England and Virginia curto federal money.

rency,

Ans. $95, 25 cts.

7. Change 4631. 10s. 8d. New-England, &c. currency,

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A dollar is 8s. in this currency-,4-4-10 of a pound; therefore, musti. ply by 10, and divide by 4, brings the pounds into dollars, &c.

12. Change 2417. New-England, &c. currency, into fe deral money. Ans. $803, 33 cts. 13. Bring 201. 18s. 53d. New-England currency, inte dollars. Ans. $69, 74 cts. 61⁄2 m.+ 11. Reduce 4681. New-York currency to federal money Ans. $1170 15. Reduce 17s. 93d. New-York, &c. currency, to dolJars, &c. Ans. $2, 22 cts. 6,5 m.+1 16. Borrowed 10 English crowns, at 6s. 8d. each, how many dollars, at 6s. each, will pay the debt?

Ans. $11, 11 cts. 1 m. NOTE.—There are several short practical methods of reducing New-England and New-York currencies to Federal Money, for which see the Appendix.

CASE II.

To reduce the currency of New-Jersey, Pennsylvania, Delaware, and Maryland, to Federal Money. RULE.-Multiply the given sum by 8, and divide the product by 3 and the quotient will be dollars, &c.*

EXAMPLES.

1. Reduce 2451. New-Jersey, &c. currency, to federu

money.

C215x8-1960, and 1960÷3-$6531-8653, 33 cts. NOTE. When there are shillings, pence, &c. in the given sum, reduce them to the decimal of a pound, then multių ly and divide as above, &c.

2. Reduce 361. 11s. 81d. New-Jersey, &c. currency, to federal money. £36,5854 decimal value.

8
$

3)292,6832(97,56106 Ans.

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ANSWERS.
cts. m.

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* A dollar is 7s. 6d. 90d. in this currency 90-240-3-8 of a pound; there fore multiplying by 8, and dividing by S, gives the dollars, cents, &c.

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