REDUCTION OF FRACTIONS. Rule. Place the numerator of the given fraction on the right hand side of the perpendicular line, and its denominator on the left, then place also on the left, such numbers as are necessary to reduce the denomination given to that required, then proceed as before. EXAMPLES. Reduce of a farthing to the fraction of a shilling. 4 3 far. far 4 1 penny pence 4 -12 | 1 shilling 64|1= part of a shill. Ans. 2. Reduce of a penny to the fraction of a pound. 3. Reduce 1% of a gallon to the fraction of a hogshead. 10 7 9 -63 90|1=0 Ans. 4. Reduce of one ounce Troy to the fraction of a pound. Ans. 36. 5. Reduce of a pound, avoirdupois, to the fraction of a cwt. L Ans.4. 6. Reduce of a nail to the fraction of an Ell French. Ans. 6'4. 7. Reduce 2 of a penny to the fraction of a pound. Ans. 516. 8. Reduce 1 of an hour to the fraction of a year. Ans. 94'90. To reduce fractious of high denominations to equivalent fractions of low denominations. Rule. Place the numerator of the given fraction on the right hand side of the perpendicular line, and the denomi nator on the left as before, then place on the right hand side of the line such numbers as are necessary to reduce the denomination given to that required, then proceed as before. EXAMPLES. 9. Reduces's of a shilling to the fraction of a farthing. 2-S-96 I 124 2 | 1 of a farthing. Ans: 10. Reduce of a pound to the fraction of a penny. 360 11. Reduce of a pound Troy to the fraction of an 12. Reduce of a penny to the fraction of a farthing. Ans.. 500 13. Reduce 960000 of a mile to the fraction of a barley corn. Ans. 99 14. Reduce of an Ell English to the practice of a nail. Ans.. 15. Reduce 490 of a year to the fraction of an hour. Ans. 13. REDUCTION OF CURRENCIES. UNITED STATES MONEY. The New England 6 shillings equal $1,00 To change pounds shillings and pence into dollars and cents. Rule. Place the number of pounds given, on the right hand side of the perpendicular line, then see the proportion of United States' money, and place the number of pounds in that currency on the left hand side, and the equality of dollars on the right. Prop. 1. Reduce £160, New York currency, to federal money. Ans. $400. £--2 | 160—80 400$ Ans. Ans. $640. 2. Reduce £240, New Jersey currency, to federal money. 3. Reduce £243, New Jersey currency, to federal money. $648. 4. Reduce £140, South Carolina currency, to federal money. $600. 5. Reduce £560, South Carolina currency, to federal money. $2400. 6. Reduce £27, New England currency, to federal money. $90. 7. Reduce £80, New York currency, to federal money. $200. $121 60. 8. Reduce £45 12s. New Jersey currency, to federal money. 9. Reduce £112, Georgia currency, to federal money. $480. To change dollars and cents to pounds, shillings and pence. Rule. Place the number of dollars given, on the right hand side of the perpendicular line, then see the proportion of United States money, and place the number of dollars in that currency on the left hand side, and the equality of pounds on the right. |