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Reduce 221. 18. to Federal Money.

3)220,5

Ans. $. 73,50

Reduce 177. 13s. to Federal Money.

3)176,9

Ans. $. 58,833

2. To reduce New-York and North-Carolina currency to Federal Money.

Note. In this currency 8:. make a dollar.

RULE.

Proceed according to the foregoing rules, with observing, that 8s.a dol. and 96d.=a dol.

1. Reduce 641. 8s. 10d. to Federal Money.

Half shillings=4)640

88. 10d. 1 dol.108.

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2. Reduce 741. 33. 4d. to Federal Money.

Half Shill. 4)740

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3. To reduce Pennsylvania, New-Jersey, Delaware, and Mary. land currency to Federal Money.

F

RULE.

Multiply the pounds by 8, and divide the product by 3; the quotient will be the dollars. For the shillings and pence, you must proceed as before.

Note. A dollar in the currency of these States, is 70. 64. === 90d.

1. Reduce 241. 18s. 4d. to Federal Money.

24 X8

18s. 4d.-2-40d.
S=90)4000(44*=cents.

+3)192

360

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́400(4=mills.
360

40 pts. of a mill.

A. To reduge Federal Money to New-England, Virginia, New York, &c, currency.

RULE 1.

Multiply the dollars, by half the number of shillings in a dollar, and double the right hand figure for shilings, the rest are pounds.

RULE 2.

Multiply the cents, by the number of pence, in a dollar, and divide by 100; the quotient will be pence.

* When the divisor is greater than the number of pence, in the div idend, with one cypher added, you meet place a cypher in the place of tenths, or dimes, in the quotient,

1. Reduce $162 25e. to New-England currency.

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1)00)18(00-19 60%.

Ans 1941. 08: 5d 1g

2 Reduce $.646 74c. to New-England currency.

2. Reduce $.161 10c. to New-York, &c. currency.

4

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1)00)9(6094d

The remainder being equal to the divisor, produces the i

Ans. 641. 88. 94d 5. To reduce Federal Money to Pennsylvania, &c. currency.

RULE.

Multiply the dollar by 3, and divide the product by 8; the quo tient will be pounds. Then multiply the cents, by the number of pence, in a dollar, and divide that product by 100; it will give the answer in pence. 1. Reduce 476 20c: to Pennsylvania currency.

3

8)1428

178+ 109.

2.

d.

178

10 0

1

6

Ans. £.178 11

give the shillings.

90 pence in a dals
20

1)00)18(00—1s. 6d.

The 4 eights, reduced to their ̈ lowest term, make, that is, one half of 208.-108 or, the 4 multiplied by 20, the shillings in a pound, and divided by 8, will.

2. Reduce 8.74 28cr to Pennsylvania currency.

3

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ARITHMETIC.

3. What number of dollars is equivalent to 1500. Maryland

Ans. 4000.

currency? 4. What is the sum of 8461. 138. 10d. Delaware currency, in Georgia currency? Ans: 526, 16, 7, 5. Reduce 1556, 13, 93 New-Hampshire currency to Penn3. sylvania currency. Ans. 1945, 17, 3. 6. Reduce 90001. New-Jersey currency to New-York currency. Ans. 9600.

7. What number of dollars is contained in 80077. North-Carolina currency? Ans. 2112,50: a. Reduce 8451. 108. New-York money into Federal currency. Ans. 2113,75, 9. In New-England currency, what is the amount of 647, 13, 6. New-York money? Ans. 410, 15, 1, 1. 10. Reduce 1903, 16, 3 New-York money, into Virginia money. Ans. 1427, 17, 2, 1.

11. What is the sum of 5913, 8, 9, 3 Maryland currency in New-York money? Ans. 6307, 13, 5. 12. Reduce 643, 15, 7 New-York currency into New-Jersey currency. Ans. 603, 10, 10, 32.

CASE 3.

To reduse numbers of different denominations to decimals.

RULE 1.

Place the number, you are to reduce, for a numerator; and the integer, you are required to reduce your number to the decimat of, for a denominator.

2. Reduce the numerator and denominator to the lowest term mentioned in your numerator; add cyphers to the numerator, and divide it by the dénominator, and it will give the decimal required. 1. Reduce 9 pence to the decimal of a pound. 1.240 pence. Therefore, 9 pence 240)9,00(,0375Answer.

720

1800-
1680

1200
1200

In this example I added 4 cyphers to▸ the numerator, consequently my. quotient must consist of 4 places, agreeable to rule 2d, under case 1.

2. Reduce 6 pence to the decimal of a pound.

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3. Reduce 3 pence to the decimal of a shilling.

3 pence of a shill.

12)3,00(;25 Answer.

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60

60

4. Reduce 1 shilling to the decimal of a pound.

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20)1,00(,05 Answer:

100

5. Reduce 2, 3, 4, 5 and 6 shillings to the decimal of a

pound.

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Shillings. 2 3 4 5 6

Answers. ,1 ,15,2,25,3

6. Reduce 158. 8d. 3g to the decimal of a pound.

158. 8d. 39.755g.
17.860988

Ana: 7864

7. Reduce 802: 12pws. 6gr. to the decimal of a pound Troy.

8oz. 12put. 6gr.4134gr.

11. Troy 5760gr. 3760

Ans. 7177.

8. Reduce 3qrs. 12lb. 8gz. 6dr. to the deeimal of a cwt.

Ans. ,8618. 9. Reduce 3qrs. 2na. to the decimal of a yard: Ans.,875. Different denominations may be reduced to decimals by the following rules.

RULE 1.

Set the numbers under each other, for dividends, having the lowest denomination at the top.

2. At the left hand, opposite to each dividend, set that number that will bring it to the next superior denomination.

3. Begin with the uppermost dividend, supposing cyphers to be annexed to it, and divide it, setting the quotient, as decimal parts, at the right hand of the dividend next below it, and so proceed with each dividend, and the last quotient will be the decimals required.

EXAMPLES.

1. Reduce 188. 6d. 3gr. to the decimal of a pound,

43,
12 6,75

20 18,5625

,928125 Answer.

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