RU L E.

Place the Divifor and Dividend under each other, but removed one Place towards the right Hand; then fubtract the Lower Lines: From the Upper, the Remainder will be a new Divifor and Dividend, which proceed with as before directed.

EXAMPLE S.

17. Divide 81869,8694 by 7414,864.
18. Divide 9,46946 by 64,84%.

6th. If a compound Repetend is found in your Divifor, or in both your Divifor and Dividend.

Proceed as in the laft Cafe with your Divifor and Dividend, only remove them each so many Places towards the right Hand, as they have Places in the Repetend of the Divifor; but if the Divifor is a compound Repetend without any terminate Figures, divide by it as a terminate Number; firft fubtracting the Dividend from itself, as above directed.

EXAMPLE S.

19. Divide 147,42683 by 8,467.
20. Divide 4176,4266268 by 37,26974.

49. REDUCTION of DECIMALS.

1. To reduce a Vulgar Fraction to a Decimal.

Add Cyphers to the Numerator, and divide by the Denominator, the Quotient will be the Decimal Fraction required.

EXAMPLES.

7. Reduce of to a Decimal.

2. To reduce Coins, Weights, Measures, &c. into Decimals.

RULE I.

Reduce the given Money, Weights, &c. into the lowest Denomination or Name mentioned, for a Dividend; then reduce the integer into the fame Denomination for a Divisor, the Result will be the Decimal required.

Write the given Denomination or Parts orderly under each other, the inferior or leaft Parts being uppermoft; let these be the Dividends. Against each Part on the Left Hand, write the Number thereof contained in one of its fuperior; let thefe be Divifors. Then beginning with the lowest Denomination with Cyphers added (making a Dot between the Cyphers and the Figure) and divide, writing the Quotient of each Divifor as Decimal Parts on the Right Hand of the Dividend next below it: and let this mixt Number be divided by its Divifor, and so on, till all be finished, and the last Quotient will be the Decimal required.

To reduce Shillings, Pence, and Farthings; if the Number of Shillings be even, take Half for the first Place of Decimals, and let the fecond and third Place be filled up with the Farthings contained in the remaining Pence

and

and Farthing, always remembering to add 1, when they are 25; if 40 add 2 But if the Number of Shillings be odd, multiply them by 5, and proceed with the Pence and Farthings as before.

EXAMPLES..

1. Reduce 171. 6d. to the Decimal of a Pound.
2. Reduce 65. g. to the Decimal of a L.
3. Reduce gs. to the Decimal of a Guinea,
4. Reduce 14. 6d. to the Decimal of a Moidore.
5. Reduce 18. 4d. to the Decimal of a L.

6. Reduce of a Penny to the Decimal of a £.
7. Reduce 11 dwts. to the Decimal of a lb. Troy.
8. Reduce 10 Drams to the Decimal of a lb. Avoirdupoife.
9. Reduce 3 grs. 14 lb. to the Decimal of a cwt.
10. Reduce 6 Inches to the Decimal of a Yard.

11. Reduce 6 Furlongs to the Decimal of a League.

12. Reduce 18 gall. 2 qts. of Wine to the Decimal of a Tun.

13. Reduce 3 qrs. pt. of Ale to the Decimal of a Barrel.

14. Reduce & Perches to the Decimal of an Acre.

15. Reduce 4 Bufhels 2 Pecks to the Decimal of a Chal

dron.

A

16. Reduce 12 Minutes to the Decimal of an Hour. 17. Reduce 12 Days to the Decimal of a Year (Julian).

By this Rule, the following Decimal Tables are made,

Decimal

Decimal TABLES of COIN, WEIGHT, and MEASURE.

Decimal TABLES of COIN, WEIGHT, and MEASURE.