can we tell whether that decimal will be finite or a circulator? Apply the rule to and to 41.

12. Reduce to vulgar fractions in their lowest terms

13. Add together 23:54, 156·213, 2·0004, °1245; and also 5127 and 2'4004.

14. From 802362 take 849, from 3·16 take 2·059, and from 3 take oz.

15. Add the following correctly to 5 decimal places: *52, 25.00064, *24123,

105,

16. Multiply and divide 2631874 by 70.

17. Divide 036 by '03, and 2.345 by '003.

⚫i234.

18. Find the sum, difference, product, and quotient of *025 and '03.

19. State and prove the rule for reducing circulating decimals to vulgar fractions.

20. What is a decimal? Explain the effect of moving the decimal point one place to the right or left.

21. What is the effect of adding cyphers, Ist to the right of a decimal, 2nd to the left of it? Prove your

answers.

1. Reduce

VII. DECIMALS MIXED.

(1) 3 farthings to the decimal of 11.
(2) 7s. 9d. to the decimal of Il.
(3) 9s. 83d. to the decimal of 17.
(4) Il. 2s. 6d. to the decimal of 1.
(5) 2 qrs. 14 lbs. to the decimal of a cwt.
(6) 3 cwt. 14 lbs. to the decimal of a ton.

(7) 3 quarts I pint to the decimal of a gallon.
(8) I mile 2 furlongs to the decimal of a league.
(9) 6 furlongs to the decimal of a league.
(10) 056 of a pole to the decimal of an acre.
(11) 8s. 4d. to the decimal of 17.
(12) 7s. 8d. to the decimal of 1.
(13) 17s. 6d. to the decimal of 1.
(14) 4s. 4d. to the decimal of a guinea.
(15) 37. 15s. 6d. to the decimal of 41.
(16) 27. 13s. 4d. to the decimal of 47. 5s.
(17) 27. 15s. 9d. to the decimal of 3s. 81d.
(18) 14 minutes to decimal of a day.
(19) 261 lbs. to the decimal of a ton.

(20) 15 cwt. I lb. to decimal of a ton.

(21) 5 oz. 12 dwts. 16 grns. to decimal of a pound. (22) 2s. 81d. to the decimal of Il. Is. 8d.

(23) 3 qrs. 3 lbs. 2 oz. 2.816 drams to the decimal

of a ton.

(24) 9 lbs. Av. as a decimal of 5 lbs. Troy.
(25) 3 of 15s. as the decimal of 10s. 6d.
(26) 7 linear feet to the decimal of a rod.

(27) of a rood to the decimal of 1 of an acre.
(28) 5 oz. 6 dwts. 18 grns. to the decimal of of
I lb. Troy.

(29) 5s. 6d. to the decimal of of a guinea.
(30) of of of 3s. 6d. to the decimal of Il

2. Find the value of

(1) 625 of a shilling.
(3) 2778125 of 6s. 8d.
(5) 22:25 of 27. 2s. 6d.
(7) 384 cwt.
(9) 0027 of a ton.
(11) 065 of an acre.
(13) 58 of a year.
(15) 175 of a ton +
(16) 0099 of 1l. 5s. 3d.

(2) 065625 of a £. (4) 2'74 of 12s. 6d. (6) 625 of a gallon. (8) 325 of 11 ton. (10) 009943 of a mile. (12) 13.62 of an oz. Troy.

(14) 5s. +7 crown +125/ 195 of a cwt. +145 of a qr.

(17) 2142857 of a guinea.

(18) 409 of a lb. Avoirdupois.

(19) 7083 of 1 lb. Troy.

(20) 5·25%+Ở of a guinea +05 of 5s.

(21) ·6%+3125 shilling +2 guinea.

3. Add together '83 of a shilling, o3 of a halfcrown, and 05416 of a pound; and also of a guinea, of a £, and 15 of 3s. 7d.

4. Subtract 625 of a crown from 1375, 3 of a crown from 83 of 1l, and 854166 of 10s. from '1172 of 137. 155.

5. Multiply 2271. 9s. 11d. by 25.6.

6. Divide 3 qrs. 25 lbs. 15 dr. by 921, and 12 miles 4 furlongs 37 poles 8 yards by 4'05.

35

7. Reduce to a decimal; and taking the result as the decimal of a yard, find the value of it.

8. Reduce

(1) 26d. to the decimal of 17.

(2) 2'9 halfcrowns to the fraction of Is. 4d.
(3) of 1 guinea to the decimal of 17. 3s. 4d.

9. Find the value of 3 of 126 of 12s. 6d., and reduce the result to the decimal of 57.

10. The price of gold being 31. 17s. 101d. an ounce, find the weight of a nugget worth 34109257.

11. Find the value in English money of 15724185 francs when the exchange is at 26.675 francs per pound.

VIII. PRACTICE.

1. Find the cost of

(1) 3451 articles at 27.
(2) 1005 articles at 37.

18s. 9d. each.
18s. 113d. each.
16s. 91d. each.

(3) 1175 articles at 5l.
(4) 2354 articles at 1l. 5s. 6d. each.
(5) 1006 articles at 1l. Is. 14d. each.
(6) 735 articles at 16s. 101d. each.
(7) 1961 articles at 17s. 113d. each.
(8) 2791 articles at 15s. 5d. each.
(9) 3115 articles at 15s. 6d. each.
(10) 213 articles at 51. 2s. 6d. each.
(11) 187 articles at 21. 3s. 63d. each.
(12) 25515 articles at 4s. 4d. each.

2. Find

(1) The value of 92 tons of hay at 67. 18s. 9d. per ton.

(2) Total weight of 5792 iron bars, each weighing

23 lbs. 10 oz.

(3) Dividend on 15967. at 15s. 9åd. in the £. .

(4) Duty on 3 qrs. 12 lbs. at 5s. 3d. per lb.

(5) Rent of a field 880 yards long and 660 yards wide at 27. 15s. per acre.

3. A bankrupt owes 3549%, and can pay 17s. 6d. in the pound what are his assets worth, and what loss do his creditors sustain ?

4. Find the cost of

(1) 2 cwt. 2 qrs. 17 lbs. at 17. 10s. 4d. per cwt.
(2) 42 cwt. 16 lbs. at 57. 16s. 8d. per cwt.
(3) 23 cwt. 3 qrs. 12 lbs. at 1/. 7s. 6d. per cwt.
(4) 75 cwt. 3 qrs. 21 lbs. at 57.
(5) 13 lbs. 7 oz. 15 dwts. at 77.

15s. 6d. per cwt.

IIS. 4d. per lb.

(6) 2 qrs. 23 lbs. 8 oz. at 21. 6s. 8d. per cwt.

(7) 3 qrs. I nail at 16s. 8d. per yard.

(8) 15 dwts. 12 grns. at 4/. 4s. per oz.

(9) 7 weeks 5 days at 3 guineas per month of 4 weeks.

(10) 3 qrs. 13 lbs. 7 oz. at 77. IIS. 4d. per lb.

5. Find

(1) The duty on 179 cwt. 2 qrs. 12 lbs. at 21. 35. 61d per cwt.

(2) The rent of 956 acres 3 roods 10 perches of land at 28s. an acre.

(3) The rent of 215 acres I rood 5 perches at 2 guineas an acre.

(4) The rent of 23 acres 3 roods 5 poles at 24 guineas per acre.

6. What must be given for a lump of gold weighing 2 lbs. 3 oz. 16 dwts. at 37. 17s. 6d. per oz.?

7. If I cwt. cost 21. 9s. 6d., what will 45 cwt. 3 qrs. 14 lbs. cost?

8. What is the dividend on 1710l. 14s. 6d. at 13s. 41d. in the £?

9. A bankrupt's liabilities are estimated at 37687. 17s. 6d. what are his assets if he can pay 135.74d. in the £?

C