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33. If a tradesman with a capital of £2000 gain £50 in 3 months, what sum will he gain with a capital of £9000 in a year and two months?

VULGAR FRACTIONS.

Reduction to the Fraction of (Money).

1. Reduce 13s. 4d., 61d., and L1, os. 11d. each to the fraction of £2, os. 9d.

2. Express 4

3. Express 3

4. Express

of £2, 5s. 31d. as a fraction of £4, 125. 9d.
of £1, os. 93d. as the fraction.

(1) of £1, 10s. 10d., and
(2) of £5, 9s. 7§d.

of a shilling as the fraction of £5, and 35, of

£1, os. 94d. as the fraction of £1, 10s.

5. What fraction of 18s. 9d. is of of half-a-guinea, and what fraction of £1 is of

of 17s. 4d.?

6. Reduce of 2s. 44d. to the fraction of 2s. 6d., and 9s. 10 d. to the fraction of 13s. 21d.

Reduction to the Fraction of (Weights and Measures).

1. Reduce 12 ft. 4 in. to the fraction of a mile.

of of a mile + of 3 of 21

2. What fraction of a mile is furlongs+ of 4 furlongs +183 poles?

Simplify :

Simplification.

1. { of of 131} ÷ {(↓ of ?) + 40} + ???.

161 (39/+10); or

2. Either (a)

3 of 13}

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VULGAR FRACTIONS (Miscellaneous).

1. Add together 31, 71, 3, 5; divide their sum by of 41, and subtract the quotient from 20.

2. A gentleman gives 33s. to one boy, 45s. to a second, 3s. to a third, 5s. to a fourth; how much did he spend altogether, and how much did he give on an average to each boy?

3. A pile is driven through water into the ground below; } of it is buried in the soil, is under water, and 15 ft. above the surface of the water: what is the length of the pile?

4. If 9 yds. of velvet cost £353, what quantity may be bought for £20?

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5. From of of 48 guineas take s. +13 of half-a-crown +100's of a guinea.

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6. What fraction added to 4 of 62 of

will make 1?

7. A man possessing five-elevenths of an estate, sold onethird of his share, and divided the remainder among his ten children; what fraction of the whole estate did each child receive?

8. 2 cwt. cost £46, what is the cost of 2 lbs. ?

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9. A boy, after spending of his money upon cakes, finds of what he has left is 1s. 9d.; what had he at first? 10. If 1 acres of land cost £118, 135., what will 105 acres cost at the same rate?

11. Add 9-16ths of 1s. 6d. to 73-960ths of 10s., and subtract their sum from 2-15ths of 12s. 6d.

12. If 2 bushels can be got for 2+ of £1, what should

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7-321-93, and take the result

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14. Find the cost of a dress which required 17 yards of

cloth at the rate of 41s. for of a yard, other materials 11s., and 233s. for making.

15. What is the number to which, if we add of 67, the result will be equivalent to of 133?

16. A shopkeeper having

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of 58 lbs. of tea, soldqr., cwt., 3 qr., and of 7 of 189 lbs. ; what

quantity had he left?

17. Multiply I ton 3 cwt. I qr. 15 lbs. 10 oz. 6 drs. by 35 and 2, and add the two products together.

18. 4 yds. of cloth yd. wide cost £2, os. 6d.; how many yardsyd. wide should be got for 3 guineas?

19. Take of a guinea from £, and express their difference as the fraction of half-a-crown.

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20. A person owning of an estate sold of of his

share for £120; what would of of the estate sell for at the same rate?

21. If claret be of a guinea per doz., and marsala be of of 10s. a bottle, what fraction of the price of a dozen of the former will be the price of a dozen of the latter?

22. What fraction of £10, together with 3 guineas, is equivalent to 5 guineas?

23. Subtract of from of, and multiply the result by of .

24. If 10 yds. of cloth which is 18 in. wide cost £4, 18s. 64d., what will 123 yds. of yard wide cloth cost?

25. If of a ton is worth £4, 10s., what is the value of of a ton?

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26. Express 4 bush. 1 pk. 1 gall. 2 qts. as the fraction of a quarter; and the sum and difference of of £1 and 2 of a crown as fractions of a half-sovereign.

100,000

27. How many seconds are there in part of a day, together with 5.400.000 part of 3 weeks 4 days?

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28. A farmer has to pay yearly the price of 7 bushels of wheat at 4s. 9d. per bushel, and 91 of malt at 5s. 3d., and 63 of

oats at 2s. 4d. His landlord gives him a receipt in full for £4, 10s.; how much does the landlord forego?

29. I spent of my money yesterday, and of the remainder to-day, thereby leaving half-a-guinea in hand; how much money had I at first, and what fraction of it is left?

30. I bought a watch and chain for 20 guineas; the watch cost me 3 guineas more than the chain. Find the price of each in £ s. d.

31. If the wages of 13 men for 7 days amount to £13, 75. old., how many men ought to work 4 weeks for £173, 8s.? 32. Multiply 15 shillings by 109; and divide £61, 4s. 71d. by 26710.

33. Find the difference between 41 and 31, and multiply it by the quotient of ÷23.

34. Divide 1 acres by 284, and find the value of the quotient at the rate of 7s. 6d. per pole.

35. In a map drawn on the scale of of that of nature, how many inches represent a mile?

36. A dollar weighs

of an oz. Troy, and an English crown piece of a lb. Troy; express the weight of the former as the fraction of the latter.

37. If of a yard of silk cost 4s. 114d., what is the cost of 3 of of 4 yards of it?

38. Divide 7s. 14d. by, and subtract from the quotient 33 of 7 half-crowns.

39. What fraction should be multiplied by 3 of 3 to produce 3, and what number should be divided by the same fraction to produce?

40. A farmer went to market with 23 in his pocket. He received for wheat sold £173, for poultry 183s., for eggs 3 s.; how much did he bring home?

41. A merchant owns of a ship worth £3000, and its cargo worth £27,000. He purchases another person's share, which is of of it; what part of it has he now, and what is its value?

42. A yard measure worn of an inch short is used to find

the length of a ropewalk, and gives it as 175 yards; what is the real length of the ropewalk?

43. If off of a ship and her cargo is worth £7800, what loss will be experienced by the owner of

and cargo if she goes to the bottom?

share of the ship

44. A bricklayer has just built 14 of a wall in 4 days of 11 hours; how much longer will he take to finish it?

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47. A man and a boy working together for 9 hours a day can do a job in 11 days; the man by himself would be 17 days about it: how long would it take the boy alone to do it?

48. If 210 oz. of tea cost 1s., what part of a pound of tea may be had for 2s. ?

49. If of a yard of silk cost 4155., how much of it should there be in a gown which, with 233s. for making, costs £10, 19s. 2 d. ?

50. Find the value of (9+76+131) £, divided by 24. 51. If, after selling of an estate, I sell of of the remainder for of of £200, what is the value of the estate? 52. A clock, 4 min. 8 sec. too fast at 9.30 A.M. on Tuesday, loses 2 min. 45 sec. daily; what time will it show at a quarter past 5 P.M. on the following Friday?

32

53. If the value of much should I get for estate, after disposing of

54. If I earn £7, os.

of an estate be £541, 13s. 9d., how of of what was left of the whole

of it to another purchaser?

1d. per week, and put by of my gains, in how many weeks shall I have saved £5, 16s. 91d.?

1809

55. Find the price of 1199 tons of sugar, at the rate of 71d. for 1 lb. 8 oz.

56. What must be added to 1417 to make up 33%, and what must be subtracted from 2881995 to reduce it to 132191

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