Rule.—Divide by the number of parts in the next higher denomination, continuing the operation to as many higher denominations as may be necessary.
When there are several numbers, all to be converted to the decimal of the highest—
Set the given numbers directly under each other for dividends, proceeding from the lowest to the highest; opposite to each dividend, on the left hand, place such a number for a divisor as will bring it to the next higher name. Begin at the uppermost, and perform all the divisions, placing the quotient of each division, as decimal parts, on the right hand of the dividend next below it; so shall the last quotient be the decimal required.
Example.—Convert 15s. 9¾d. to the decimal of a pound sterling.
| 4 | 3· |
| 12 | 9·75 |
| 20 | 15·8125 |
| £·790625 Answer. |
Example.—Convert 1 dwt. to the decimal of a pound, Troy weight.
| 20 ) | 1 | |
| 12 ) | ·05 oz. | |
| ·004166 | lb., &c., Answer. |
RULE OF THREE IN DECIMALS.
Rule.—Prepare the terms, by reducing the fractions to decimals; compound numbers to decimals of the higher denominations, or integers of the lower; also the first, and second terms to the same name. Then multiply, and divide, as in the Rule of Three, in whole numbers.