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REDUCTION OF CURRENCIES.

CASE I. To reduce the currencies of the several United States, where a dollar is an even number of shillings, to Federal Money.

Rule 1.-When the sum consists of pounds only, annex a cipher to it, and divide by half the number of shillings in a dollar ; and the quotient will be dollars ; if there be a remainder, annex eiphers to it, and divide again, by which you will get the cents, &c.

2. But if the sum consists of pounds, shillings, fence, &c. bring it into shillings, and reduce the pence and farthings to a decimal 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 £73 New-England, Virginia, &c. currency, to Federal Money.

3)730

$243,33ļcts. Ans. 2. Reduce £45 15s. 73d. New-England currency to Federal Money. . nes 20

3d.=,5 A dollar=6)915, 625 12)7,500

d. $152, 604+ Ans. . ,625 decimal=74

C. m.

3. Reduce £105 14s. 331. New-York and North-Car. olina currency to Federal Money.

£. . d.
105 14 32 5,75 of a penny.
20

d.

12)3, 7500 A dollar=8)2114, 3125

d.

,3125 decimal=33 8264, 2890% + Ans.

. c. m. 4. Reduce £431 New-York currency to Federal Money.

4)4310

$1077, 50cts. Ans.

Rule 2.—Bring the given sum into a decimal expression by inspection, as in case 3 of decimal fractions ; then divide the whole by ,3 in New-England, &c. currency, and by ,4 in New-York, &c. currency; and the quotient will be dollars, cents, &c. .

EXAMPLES. 1. Reduce £54 8s. 3}d. New-England currency to Federal Money. £.

„3)54,415 decimally expressed.

$181,38c. + Ans.

2. Reduce 7s. 113d. New-England currency to Federal Money.

78. 11 d.=£0,399 decimally expressed. Then ,3),399

$1,33c. Ans. 3. Reduce £513 16s. 10d. New-York, &c. currency to Federal Money.

,4)513,842 decimally expressed.

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4. Reduce 19s. 528. New-York, &c. currency to Federal Money. . £.

,4)0,974 decimal of 19s. 5d.

$2, 434c. Ans. Note.-By the preceding rule, you may carry on the decimal to any degree of exactness; but in ordinary practice, the following Contraction may perhaps be useful.

Rule 3.—To the shillings contained in the given sum, annex 8 times the given pence, increasing the product by 2 ; then divide the whole by the number of shillings contained in a dollar, and the quotient will be cents.

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9x8+2=74 to be annexed. Then 8)5074

$ c. Or thus, 8)50,74 634+cents=6,34

$6,8440. Ans. NOTE.—When there are no pence given in the sum, you must annex two ciphers to the shillings; then divide as before, &c.

3. Reduce £3 58. New-England currency, to Federal

Money.

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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 £245 New-Jersey, &c. currency, to Federal Money £245x8=1960, & 1960:-3=$6531=$653,38£c. Ans.

Note.—When there are shillings, pence, &c. in the giren sum, reduce them to the decimal of a pound, then multiply and divide as in the preceding question.

2. Reduce £36 11s. 8id. New-Jersey, &c. currency, to Federal Money.

£36,5854 decimal value.

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CASE III. To reduce the currency of South-Carolina, and Georgia,

to Federal Money. RULE.--Multiply the given sum by 30, and divide the product by 7; the quotient will be dollars, cents, &C. Or, multiply by 3 and divide by ,7.

EXAMPLES. 1. Reduce £100 South-Carolina and Georgia currency, to Federal Money.

£100x30=3000; 3000-7=$428,5714+ Ans.

2. Reduce £54 16s. 92d. Georgia currency to Federal Money.

54,8406 decimal expression.

30

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$235,0311+ Ans. 3. Reduce 11s. 6d. South-Carolina, &c. to Federal Money.

Ans. $2 46c. 4m.t.

CASE IV. To reduce the currency of Canada and Nova-Scotia, to

Federal Money. RULE.--Multiply the given sum by 4, if it contain pounds only, and the product will be dollars. If it contain shillings, reduce the whole to shillings, and divide by 5; if it contain pence, reduce the whole to pence, and divide by 60; and the quotients, in either case, will be dollars ; to the remainders, if there be any, annex ciphers, and continue the division, by which you will obtain the cents and mills.

Or, when the given sum contains shillings, pence, &c. reduce them to the decimal of a pound, annex the deci-. mal to the pounds, and multiply the whole by 4; the product will be dollars, cents, &c.

EXAMPLES. 1. Reduce £125 Canada and Nova-Scotia currency, to Federal Money.

125

$500 Ans. 2. Reduce £68 14s. Nova Scotia currency, to Federal Money.

£. s. 68 14

Or 68, 7 decimal expression. 20

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