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nydus/Elements of ArithmeticPublic
Page 162 of 278
Table of Contents

BOOK II.

have £33. 12. 3 more than B.

In the following table the quantities written opposite to each other are the same: each line furnishes two exercises.

£15 . 18 . 9½15302 farthings.
115ˡᵇˢ 1ᵒᶻ 8ᵈᵚᵗ663072 grains.
3ˡᵇˢ 14ᵒᶻ 9ᵈʳ1001 drams.
3ᵐ 149 yds 2ᶠᵗ 9 in195477 inches.
19ᵇᵘ 2ᵖᵏˢ 1 gall 2 qᵗˢ1260 pints.
16 ʰ 23ᵐ 47ˢ59027 seconds.
  1. The same may be done where the number first expressed is fractional. For example, how many shillings and pence are there in ⁴/₁₅ of a pound? Now, ⁴/₁₅ of a pound is ⁴/₁₅ of 20 shillings; ⁴/₁₅ of 20 is
4 × 20, or4 × 4(110), or16,
1533

or (105) 5⅓ of a shilling. Again, ⅓ of a shilling is ⅓ of 12 pence, or 4 pence. Therefore, £⁴/₁₅ = 5s. 4d.

Also, ·23 of a day is ·23 × 24 in hours, or 5ʰ·52; and ·52 of an hour is ·52 × 60 in minutes, or 3ᵐ·2; and ·2 of a minute is ·2 × 60 in seconds, or 12ˢ; whence ·23 of a day is 5ʰ 31ᵐ 12ˢ.

Again, suppose it required to find what part of a pound 6 s . 8 d . is. Since 6 s. 8 d. is 80 pence, and since the whole pound contains 20 × 12 or 240 pence, 6 s. 8 d. is made by dividing the

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