| The figures of | ¹/₆ | are | 166666... |
|---|---|---|---|
| ” | ²/₆ | ... | 333333... |
| ” | ³/₆ | ... | 5 |
| ” | ⁴/₆ | ... | 666666... |
| ” | ⁵/₆ | ... | 833333... |
| 0 s. | 3½ d. = | ·014 | 58 | 3333... |
|---|---|---|---|---|
| 0 s. | 7¾ d. = | ·032 | 29 | 1666... |
| 1 s. | 2½ d. = | ·060 | 41 | 6666... |
| 1 s. | 11¼ d. = | ·096 | 87 | 83333... |
| 2 s. | 6 d. = | ·125 | 00 | 0000... |
| 2 s. | 9½ d. = | ·139 | 58 | 3333... |
| 3 s. | 2¾ d. = | ·161 | 45 | 83333... |
| 13 s. | 10¾ d. = | 694 | 79 | 1666... |
The following examples will shew the use of this rule, if the student will also work them in the common way.
To turn pounds, &c., into farthings: Multiply the pounds by 960, or by 1000-40, or by 1000(1-⁴/₁₀₀); that is, from 1000 times the pounds subtract 4 per cent of itself. Thus, required the number of farthings in £1663. 11. 9¾.
| 1663·590625 × 1000 | = | 1663590·625 |
|---|---|---|
| 4 per cent of this, | 66543·625 | |
| No. of farthings required, | 1597047 |
What is 47½ per cent of £166. 13. 10 and ·6148 of £2971. 16. 9?
| 166·691 | |
|---|---|
| 40 p. c. | 66·6764 |
| 5 p. c. | 8·3346 |
| 2½ p. c. | 4·1673 |
| 79·1783 | |
| £79.3.6¾ | |
| 2971·837 | |
| ·6 | 1783·1022 |
| ·01 | 29·7184 |
| ·004 | 11·8873 |
| ·0008 | 2·3775 |
| 1827·0854 | |
| £1827.1.8½ |
The inverse rule for turning the decimal of a pound into shillings, pence, and farthings, is obviously as follows: