and 13 farthings; so that the thirteenth part of this quantity is £7. 13. 6¼. The whole process may be written down as follows; and the same sort of process may be applied to the exercises which follow:
- £ s. d. £ s. d.
- 13)99 15 9¼(7 13 6¼
- 91
- 8
- 20
- 160 + 15 = 175
- 13
- 45
- 39
- 6
- 12
- 72 + 9 = 81
- 78
- 3
- 4
- 12 + 1 = 13
- 13
- 0
Here, each of the numbers 99, 175, 81, and 13, is divided by 13 in the usual way, though the divisor is only written before the first of them.
EXERCISES.
| 2 cwt. 1 qr. 21 lbs. 7 oz. × 53 | = | 129 cwt. 1 qr. 16 lbs. 3 oz. |
|---|---|---|
| 2ᵈ 4ʰ 3ᵐ 27ˢ × 109 | = | 236ᵈ 10ʰ 16ᵐ 3ˢ |
| £27 . 10 . 8 × 569 | = | £15666 . 9 . 4 |
| £7 . 4 . 8 × 123 | = | £889 . 14 |
| £166 × ₈/₃₃ | = | £40 . 4 . 10⁶/₃₃ |
| £187 . 6 . 7 × ³/₁₀₀ | = | £5 . 12 . 4¾ ²/₂₅ |
| 4 s. 6½ d. × 1121 | = | £254 . 11 . 2½ |
| 4 s. 4 d. × 4260 | = | 6 s. 6 d. × 2840 |
- Suppose it required to find how many times 1s. 4¼d. is contained in £3. 19. 10¾. The way to do this is to find the number of farthings in each. By 219, in the first there are 65, and in the second 3835 farthings. Now, 3835 contains 65 59 times; and therefore the second quantity is 59 times as great as the first. In the case, however, of pounds, shillings, and pence, it would be best to use decimals of a pound, which will give a sufficiently exact answer. Thus 1s. 4¼d. is £·067, and £3. 19. 10¾ is