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39. Reduce of 5, and to fractions having a common denomi

nator.

Answer,,.

40. Reduce, 3, and to fractions having a common denomiAnswer, 9, 32, 43 2•

nator.

360 4329

84 1470 200

41. Reduce of 3, 5, and to fractions having a common denominator. Answer, 280, 250 98. 42. Reduce,,, and to fractions having a common denominator. Answer, 6, 1386, 1386, 1386

616

882 1188 693

CASE 8th. To reduce fractions to others that shall have the least common denominator.

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43. Reduce, , and to the least common denominator.

Answer,,, &

44. Reduce,,, and to the least common denominator.

Answer, f,, Tz, & }%.

45. Reduce, , , and to the least common denominator. Answer, 68, 38, 50, & §3.

36

46. Reduce, 1, 4, and to the least common denominator. Answer, 116, 115, 3, & 475.

30

47. Reduce,, fz, and 18 to the least common denominator.

15

Answer, 7, 8, 15, & }%.

48. Reduce, 13, 32, and 31 to the least common denominator.

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CASE 9th. To reduce a complex fraction to a simple one.

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to a simple fraction.

Answer, 8

CASE 10th. To find the value of a fraction in the

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EXERCISES.

of a shilling?

of a guinea.

Answer, 101d.

Answer, 4s. 8d.

56. Required the value of
57. Reduce of a yard of Cloth to its proper quantity.

Answer, 3 qrs. 2 nls.

58. Reduce of a pound avoirdupois to its proper quantity.

Answer, 8 oz. 14 drs.

59. What is the proper quantity of of a hogshead of Beer?

Answer, 36 gallons.

60 Reduce of a pound troy to its proper quantity.

Answer, 9 oz. 12 dwts.

61. Reduce of a day to its proper quantity.

Answer, 12 hrs. 55 min. 23 sec.

62. What is the value of of a pound sterling ?-Answer, 10s. 8d.

5

63. Reduce of a mile to its proper quantity.

Answer, 4 fur. 22 poles. 4 yds. 2 feet, 1 in.

64. Reduce of a ton to its proper quantity.

Answer, 3 Cwt. 1 qr. 18 lb. 12 oz. 8 dr. 73.

CASE 11th. To reduce any given quantity to the fraction of a higher denomination, retaining the same value.

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Answer, Answer,

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27

Ans.

65. Reduce 18 shillings to the fraction of a pound.
66. Reduce 7s. 3d. to the fraction of a pound.
67. Reduce 8 oz. 2 dwts. to the fraction of a pound troy.
68. Reduce 2 qrs. 2 nls. to the fraction of a yard of cloth.
69. Reduce 4s. 8d. to the fraction of a guinea.
70. Reduce 2 roods, 20 poles to the fraction of an acre.
71. Reduce 12 gallons of beer to the fraction of a hhd.
72. Reduce 2 weeks, 5 days, to the fraction of a month.
73. Reduce 2 qrs. 14 lb. 1 oz. to the fraction of a Cwt.
74. Reduce 15s. 92d. to the fraction of a pound.
75. Reduce 13s. 84d. to the fraction of a guinea.

Ans.

Answer,

Ans.

Ans.

Ans. 19

Ans.

Answer, 353
Answer, TIZ

320

CASE 12th. To reduce a fraction from one denomination

to that of another, retaining the same value.

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* Some Arithmeticians have given another Rule for reducing the fractions; but the above may be best understood by the learner.

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78. Reduce 79. Reduce

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85. Reduce

86. Reduce

80. Reduce
81. Reduce of a Cwt. to the fraction of a pound.
82. Reduce of a week to the fraction of an hour.
83. Reduce of a nail to the fraction of a yard.
84. Reduce of a mile to the fraction of a foot.
of a pint of wine to the fraction of a hhd.
of a pound to the fraction of a farthing.

Answer, 640

EXERCISES.

76. Reduce of a penny to the fraction of a pound. 77. Reduce of a farthing to the fraction of a pound. of a pound to the fraction of a penny. of a guinea to the fraction of a penny.

of a lb. avoir. to the fraction of a Cwt.

Answer, Ans. T

Ans. 100

Ans. 1360

Ans. 337

Ans.

Ans. 1176

Answer, T

Ans. 2200

Ans.

Ans. 52,90

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