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EXAMPLES

1 Reduce 15s 8d. to the decimal of a pound; also, 3grs. 121b. 602. 14,592dr. to that of an C.wt.

s. d. qrs. 15 82=7547960)754,000,78541661.+facit. 20 O 960S 6721)

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facit ,861 Ciwt. 2 Reduce 7s 6d. to the decimal of a pound. facit ,375 3 Reduce 9d. to the decimal of a pound.

,0375 4 Reduce 10s 9d to the deciinal of a pound.

facit ,5385416+ 5 Reduce 24 grains to the decimal of a lb.

facit ,0041666+ 6 Reduce 14 drams, to the decimal of a lb. avoirdupois.

facit ,0546875 7 Reduce 4C. 2qr. to the decimal of a ton. facit ,225 8 Reduce 76 yards to the decimal of a mile.

facit ,04318+ 9 Reduce Sqr. 2na, to the decimal of a yard.

facit ,875 10 Reduce 4 perches to the decimal of an acre.

facit ,025 11 Reduce 1 pint to the decimal of a gallon. 12 Reduce 7 minutes to the decimal of a day.

faeit ,00480+ 13 Reduce 3 C.wt. 2qr. 14lb.

an C.wt.

3,625C.wt.. 14 Reduce 7yds. 2gr. 3na. to yards. 7,6875yds. 15 Reduce 13A. . 14P. to acres.

13,3375A. 16 Reduce 3mo. Iw, 5da, to months. 3,42857+mo.

CASE

,125

CASE 3.
To reduce a decimal fraction to its value;

RULE.
Multiply it by the known parts of the integer.
Note. To find the value of any decimal of a £ by inspec-

tion ; double the first figure after the point for shillings, adding one, if the second be 5 or upwards; the second, if less than 5, or its excess above 5, call tens, and the third units of farthings, abating one when above 12, and two if above 36.

EXAMPLES. 1 What is the value of .7854166 of a pound ? ,7854166 By inspection 20

97854166

S.

S. 15,7083320

s. 15 8 2 12

That is 7+7+1=15s. 2 d. 8,499984 and 35-1=34qrs.=80.1 =15 871 4 s. d.

gr. qr. 1,999936 answer 15 1 1,9999 2 What is the value of ,76 of a pound?

answer 15s. 2d. 1,6qr. 3 What is the value of ,625 of a shilling ? answer 7d. 4 What is the value of ,8322916 of a L.

answer 16s. 702 5 What is the value of ,861 of an C.wt. ?

answer 3qr. 12lb. 6oz. 14.592dr. 6 What is the value of ,7 of a lb, troy ?

answer 8oz. 8dwt. 7 What is the value of ,761 of a day?

answer 18hr. 15m. 50,4sec. 8 What is the value of ,71 of 4oz. troy ?

answer 2oz. 16dwt. 19,2gr. 9 What is the value of ,67 of a league ?

answer 2.M. 3pls. 1yd. 3in. 1,8b.c. 10 What is the value of ,4712 of an ell English ?

answer 2qr. 1,424na.

11 What

11 What is the value of ,092 of 3A. 2R.?

answer 1R. 11,52per. 12 What is the value of ,3 of a year ?

answer 109da. 13hr. 48mina 13 What is the value of ,6875 of a yard ?

answer aqr. 3na. 14 What is the value of ,3375 of an acre ?

answer 1R. 14per. 15 Find the value of ,785 of a £. by inspection.

answer 15s. 8d.. 16 Find the value of ,875 of a £. by inspection.

answer 17s. 6d. 17 What is the yalue of a tenement for nine years ; at 12,4l. per annum ?

answer 1111. 12s. 18 Sold 25 yards of superfine scarlet cloth, at 2,75l. per yard: what was its value ?

answer 681. 15s. 19 What is the sum of ,48 of a £.and ,16 of a shilling

answer 9s. 9,12d. 20 What is the sum of ,17 of a lb. troy, and ,84 of an oz.?

answer 20%. 17dwt. 14.4gr. 21 What is the sum of ,17 T. ,19C.wt. ,17 gr. ,716?

answer 3C.wt. 2gr. 15,541b. 22 What is the sum of ,78 acres, and ,67 rood ?

answer 3R. 31,6per. 23 Wnat is the difference between ,171, and 7s. ?

answer 28. 8d. 1,6qr. 24 What is the difference between ,41 days, and ,16 of an hour ?

answer Ohr. 40min. 48 sec.

The SINGLE RULE OF THREE IN DECIMALS.

The operation both in direct and inverse proportions are agreeably to those rules in pages 59 and 63, having regard to placing the points.

DIRECT PROPORTION.

EXAMPLES. 1 If 1,41b. of mace cost 14,5$. what cost 75,311b. ? 16.

lb.

£o As 1,4 : 14,5 :: 75,31 : 38 19 11 3.52 answer.

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d. gr.

2 If 1,6C. of sugar sell for 31. 12,76s. what is the proportional cost of 3hhds. each 11C. 3qr, 10,121b.

answer 801. 158. 3d. 3,36qr. 3 If 1,5oz. of silver be worth 7,8s. what is the value of 9,71b.?

answer sol. 5s. 3d. 1,44qr. 4 If 1,47C. of sugar be worth 4,5l, what is that for 1,716.

answer 11,1d. 5 Sold 12,5 hhds. of wine, at 1,2s. per pint; query the amount?

answer 3781. 6 Bought 3 pieces of cloth, each 21,5 yards, at 12,3s. per yard; please to cast up the cost. facit 391. 135. 4,2d.

7. If 8,4lb. of tobacco cost 169. 4.6d. what is the value of 3hhds. each 4C. 2gr. 7,416. answer 1491. 12s. 3d.

8 How many yards are in a piece of cloth which brings 61. 13,12s. at 45. 2,6d. per yard ? answer 31,569yds.

9 Bought 5,8 tons of oil for 60,41. whereof 50,9 gallons leaked out; what must the rest be sold for per gallon, that the purchaser may be no loser ?

answer 10,27d. 10 A grocer bought 7,6C.wt. of sugar, at 40,1s. per C.ut. which he sold at 4,5d. per lb. whether did he gain or lose, and how much ?

answer gained 148. 5d. 1,12qr. 11. Bought 3C. 1,5qr. of cloves, at 2,755. per lb. which was sold for 601. 11s. 6d. query the gain ? answer 8l. 12s.

12 When a merchant buys 436 yards of cloth at 8,5s. per yard, what will he gain by disposing of it at 10,75s, per yard?

answer 491. 1s. 13 A owes B 296,851. but compounds for 7,5s, in the £. what sum must B receive ? answer 1111. 6s. 4d. 2qr.

14 How many English ells of linen may be bought for 251. 18s. 1d., at 7s. Od. per yard ? answer 53 E. Iqr.

15 If a yard of ribband sell for 4,5 cents, how many dollars will buy 345 yards ?

answer 15,525, i.e. 15 D. 521c.

D. d. c. m. 16 When 675 yards cost 12,8 2 5, how many yards may be had for 38 milis ?

answer 2 yards.

1, d. c. 17 If 19 yards of calico bring 25,7 5; what will 435,5 yards come to

D. d. c. m. answer 590,2 1 74

18 What

18 What must be paid for 75 yards of broad cloth, at 5.1 dollars per yard ? answer 40,5625D. or 40D. 564cts.

19 How does broad cloth sell per yard when 7 yards cost 40D. 561 cents.?

answer 5,5D. 20 The French foot is just 1,068ft. English ; how tall then would a 6ft. Philadelphian be at Paris ?

answer þut 5,618ft.

INVERSE PROPORTION.

EXAMPLES.

1 How many men can do as much work in ,4 of a month, as 16 could in a month and a half ?

mo.

men.

mo.

men.

As 1,5 : 16 : ,4 ; 60 answer. 2 If, when wheat flour is as high as 6l. per

C.wt. the half penny cake weighs 1,1333oz. what should be the weight of it, when flour is only 1,8125l. per hundred weight ?

oz. oz. dr.

answer 3,75=3 12 3. If a board be ,75 foot broad, what length will it require to measure 12 square feet?

answer 16ft. 4 How much Persian ,75yd. wide will line 25,5 yards of five quarter cloth

answer 42,5yds. 5 A had 40,7 yards of linen for which В gave him 25,6 ells of Holland, valued at 4,55. per ell; how was A's linen rated per yard

answer 2s. 98. 3,8qr. 6 How many dollars of 7,5s. each, should be given in exchange for 100 French guineas, at 34,5s. ? answer 460

7 What sum has A at interest, when it yields as much in 77 months, as B's 4501. do in 15

answer 900l.

THE DOUBLE RULE OF THREE IN DECIMALS.

Questions in this rule are wrought as in whole numbers, placing the points agreeably to the preceding directions.

EXAMPLES. 1 If 3 men receive 8,91. for 19,5 days labour ; how much must 20 men have for 100,25 days?

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