The process may be written as follows:

EXERCISES.

A has £100. 4. 11½, and B has 64392 farthings. If A receive 1492 farthings, and B £1. 2. 3½, which will then have the most, and by how much?—Answer, A will 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.

220. 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, or 4 × 4 (110), or 16 ,
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.