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4th. When the price is shillings, pence, and farthings.

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5th. When the price is pounds, shillings, pence, and farthings.

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63. 237 Cwt. at £4. 14s.

3 d.
1d.

64. 520 Cwt. at £7. 18s.
65. 319 Cwt. at £5. 11s. 10d.
66. 195 Cwt. at £13. 16s. 10 d.

Answer, £1117. 12s. Od.
Answer, £4111. 5s. Od.
Answer, £1783. 14s. 10d.

Answer, £2699. 14s. 8d.

6th. When the quantity has a fraction annexed.

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7th. When the quantity is of several denominations.

Example. 23 Cwt. 3 qrs. 17 lb. of Sugar, at £5. 18s. 54d. per Cwt.

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23 Cwt. 3 qrs. 17 lb. of Sugar, at 5.18. 5 per Cwt.

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Answer, £79. 12s. 6d. Answer, £47. 18s. 6d.

73. 17 Cwt. of Sugar, at 93d. per lb.
74. 207 yards, at 4s. 74d. per yard.
75. 176 Cwt. 2 qrs. 10 lb. at £4. 5s. 74d. per Cwt.

Answer, £756. Os. 5 d.

76. 16 Cwt. 3 qr. 17 lb. at £317. 12s. 6d. per Ton.

Answer, £268. 8s. 5d.

77. 17 hdds. 14 gal. of Wine, at 3s. 44d. per pint.

Answer, £1464. 15s.
Answer, £49. 8s. 7d.

78. 175 oz. 15 dwts. of Silver, at 5s. 7 d. per oz.

79. 19 Cwt. 1 qr. 18 lb. at £42. 17s. 3 d. per Ton.

80. 26 Cwt. 1 qr. 12lb. at 3s. 2d. per lb.
81. 729 oz. 11 dwts, of Silver, at 4s. 8d. per ounce.
82. 3 qrs. 12 lb. at £2. 6s. 10d. per Cwt.

Answer, £41. 12s.
Answer, £467.8s.

83. 79 acres, 3 roods, 29 poles, at £8. 15s. 6d. per acre. 84. 15 Cwt. 1 qr. 19 lb. at £52. 13s. 8d. per ton.

85. 31 Cwt. 3 qrs. 7 lb. at 2s. 10 d. per lb.

FRACTIONS,

ARE EITHER

VULGAR OR DECIMAL.

m

OF VULGAR FRACTIONS.

A FRACTION is a quantity which represents a part or parts of an integer or whole.

A Vulgar Fraction is represented by two numbers placed one above the other, with a line between them, as,,, &c. The number above the line is called the Numerator, and that below, the Denominator.

The Denominator shews into how many parts an unit is divided; and the Numerator how many of those parts are represented by the fraction: thus, means, that an unit, as one shilling, one gallon, &c., is divided into nine parts, and five of those parts are to be taken.

Of Vulgar Fractions there are six sorts.

(1.) A SIMPLE Fraction has but one Numerator, and one Denominator, as 3, 1, 3, &c.

23

279

(2.) A COMPOUND Fraction is the fraction of a fraction, and

is known by the word or placed between the parts;

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(3.) A PROPER Fraction is when the Numerator is less than

5

the Denominator, as 1,, 13, &c.

(4.) An IMPROPER Fraction is when the Numerator is equal to, or greater than the Denominator, as 3,

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(5.) A MIXED Number is composed of a whole number

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(6) A COMPLEX Fraction has a fraction or mixed number,

3 8 2

in either or both of its terms; as

5

7' 9' 31'

&c.

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