3. Reduce £6 11 s. 6d. 5. Reduce £6 11 s. 6d. 1 qr. Canada currency, to 1 qr. New England currency, federal money. The pounds, to federal money. shillings, pence and farthings, reduced to pence and the decimal of a penny, produce the same expression as before, namely, 1578,25. 6 s. 1 dollar. 12 TO REDUCE FEDERAL MONEY TO POUNDS, SHILLINGS, PENCE, AND FARTHINGS OF THE SEVERAL CURRENCIES. Multiply the given sum by the number of shillings (of the required currency) that make a dollar, and divide by 20, the quotient will be pounds; the remainder will be shillings and decimal parts of a shilling. 1. Reduce $118,25 to 4. Reduce $118,25 to the pounds, shillings, pence, and farthings of New England currency t denominations of Pennsylvania currency. 118,25 TO REDUCE ONE CURRENCY TO THE PAR, OR EQUALITY OF ANOTHER, Reduce the given sum to federal money, and then multiply it by the number of shillings (of the required currency) that make a dollar, and the product will be shillings and decimal parts of a shilling, and may be reduced to pounds, by being divided by 20. 1. Reduce £12 N. Y. currency, to pounds N. E. currency. 12 8|240 2. Reduce £73 13 s. 9 d. N. E. currency to N. Y. currency. Ans. £98 5 s. 3. Reduce £16 15s. N. E. currency to English money. Ans. £12 11 s. 3 d. 4. Reduce £27 17 s. 8 d. "30 federal money, 3 qrs. English money to N. or $30. Y. currency. 30 Ans. £49 11 s. 6 d. 6 s. N. E. 1 dollar. 20118'0 s.. Ans. £9. 5. Reduce £98 5 s. N. Y. currency to N. E. currency. Ans. £73 13 s. 9 d. XI. Dominical Letter. TO FIND THE DOMINICAL LETTER FOR ANY YEAR. Set down the date of the year for which you wish to find the dominical letter. To which add one fourth of itself, disregarding the remainder. Divide the amount by 7, and subtract the remainder from 7, if the date of the year be prior to 1800; if later, subtract from 8; and the remainder will be the dominical letter, reckoning from A toward G. 1. Find the dominical letter for 1778.. 4|1778 444 712222-3 317 7-3-4. The fourth letter from A is D; therefore D is the dominical letter for 1778. 4|1840 7 2300 - 4 328 The fourth letter from A is D. Therefore D is the dominical letter for 1840, after Feb. 24. As 1840 is leap year, it has two dominical letters, one for January and to the 24th of February, and the other for the remainder of the year. To find the dominical letters for leap year, ascertain what would be the dominical letter for that year, as a common year, and this letter will be the dominical letter after Feb. 24, and the first letter following it will be the dominical letter for January and to the 24th of February. Therefore the dominical letters for 1840 are D and E. 4. Find the dominical letters for 1896. Ans. D and E. 5. Find the dominical letter for 1786. 6. Find the dominical letter for 1899. Ans. A. TO FIND THE DAY OF THE WEEK, ON WHICH ANY GIVEN DAY OF THE MONTH WILL OCCUR, Find the dominical letter for the given year; then ascer tain what letter begins the month in which the required day is found. Reckon the given number of days from the first day of the month, and you will have the required day. 1. President Harrison was born Feb. 9, 1778; on what day of the week was his birth day? First find the dominical letter for 1778, which is D. D also stands for the first day of February. Reckon nine days from Sunday, and we have the required day, which 'was Monday. Ans. Monday. The following couplet will be of service to the scholar, as the first letter of each word stands for the first day of each month, in the order in which they are placed. At Dover Dwells George Brown, Esquire, 2. On what day of the week did Pres. Harrison die, it being the 4th of April, 1841? Ans. Sunday. 3. On what day of the week was Gen. Hamilton killed in a duel, by Aaron Burr, it being July 11, 1804? Ans. Wednesday. 4. On what day of the week did the 4th of July come, in 1775? Ans. Tuesday. 5. On what day of the week was you born? XII. To reduce Vulgar Fractions to RULE.-Annex ciphers to the numerator, and divide by the denominator. I. Reduce to a decimal. 4|3,00 Ans. ,75 2. Reduce 1, 1, 1, to decimals. 3. Reduce,, TT, T', to decimals. Ans. ,5,,25,,125. Ans. ,1428574,,1111114, ,090909',,076923 In the last example, there was a remainder in each case, and would have been, had the division been carried to an indefinite extent. Instead of dropping this remainder, I have chosen to express it in the form of a vulgar fraction. In all practical cases, the decimal, carried to four or five places, or even three, in federal money, is sufficiently exact. But in the examples wrought in this work, the true answer will always be given to the very last fraction. 1 |