REDUCTION OF DECIMALS.
To reduce a vulgar fraction to its equivalent decimal.
Rule.—Divide the numerator by the denominator, as in Division of Decimals, annexing ciphers to the numerator as far as necessary: and the quotient will be the decimal required.
Example.—Reduce 7 24 to a decimal.
| 24 = 4 × 6. | Then | 4 ) 7· | |
| 6 ) 1·75 | |||
| ·291666, | &c. |
To find the value of a decimal, in terms of the inferior denominations.
Rule.—Multiply the decimal by the number of parts in the next lower denomination, and cut off as many places to the right hand for a remainder, as there are places in the given decimal. Multiply that remainder by the parts in the next lower denomination, again cutting off for another remainder as before. Proceed in the same manner through all the parts of the integer; then the several denominations, separated on the left hand, will make up the answer.
Example.—What is the value of ·775 pounds sterling.
| ·775 | ||
| 20 | ||
| Shillings | 15·500 | |
| 12 | ||
| Pence | 6·000 | Answer 15s. 6d. |
To convert integers, or decimals to equivalent decimals of higher denominations.