5. Reduce 7 of 4 of 9 of 3 to a decimal. 6. Reduce of 33 of 3 of § of § of to a decimal. 7. Reduce of of of to a decimal. Ans. .1875. Ans. .45714+ 8. Reduce of 81 of 11 of 3 of to a decimal. Ans. .193359+ To reduce the lower denominations of a compound number to the decimal of a higher denomination. Place the different denominations of the compound number on the right of a vertical line, directly under each other, proceeding in order, from the least to the greatest ;—on_the left of the line opposite to each of the given numbers, place that number which is required of the less to make one of the next greater, then proceed to divide the number on the right by that standing opposite to it, on the left of the line, and place the quotient of each division as decimal parts on the right of the number next below it. EXAMPLES. 9. Reduce 14s. 6d. 3qrs. to the decimal of a pound. 4 3 12 6.75 10. Reduce 13 pennyweights, 18 grains, to the decimal of a pound. 11. Reduce 3 quarters, 14 pounds, to the decimal of a hundred weight. Ans. .875 cwt. 12. Reduce 429 yards, 2 feet, 6 inches, to the decimal of a mile. Ans. 244223+m. 13. Reduce 2 roods, 16 perches, to the decimal of an Ans. .6 acres. acre. 14. Reduce 2 furlongs to the decimal of a league. Ans. .083333 league. 15. Reduce 10s. 94d. to the decimal of a pound. Ans. £.5385416+ Ans. .1972602+ 16. Reduce 72 days to the decimal of a year, computing the year at 365 days? 17. Reduce 2 quarters, 21 pounds, 8 ounces, 12 drams to the decimal of a cwt. Ans. .6923828+cwt. 18. Reduce 16 gallons, 3 quarts, 1 pint of wine to the decimal of a hogshead. Ans. .267857+ 19. Reduce 3 quarts, 1 pint to the decimal of a bushel. Ans. .1090375. 20. Reduce 7 hours, 35 minutes, 48 seconds to the decimal of a day. Ans. .31652777+ To reduce the decimal of a higher denomination to its value in whole numbers of a lower denomination. RULE. Multiply the decimal by that number of the next lower denomination which makes a unit of the higher, and point off as many figures for decimals, as there are in the given decimal. Proceed in like manner with the decimal in each succeeding product. EXAMPLES. 21. What is the value of .765 of a £. £ .765 20 15.300 s. 3.600 d. 4 2.400 Ans. 15s. 3a. 2.4fr. 22. What is the value of .6725 of a cwt.? cwt. .6725 4 2.6900 qr. 28 55200 13800 19.3200 lbs. 16 5.1200 oz. 1.9200 Ans. 2 qrs. 19 ibs. 5 oz. 1.92 drs. 23. What is the value of .6875 of a yard? Ans. 2 qrs. 3 nas. 24. What is the value of .4694 pounds Troy? Ans. 5 oz. 12 dwt. 15.744 grs. 5. What is the value of .2083 hogsheads? Ans. 13.1229 gals. 26. What is the value of .4765 of a bushel? Ans. 1 pk. 7.248 qts. 27. What is the value of .785 of an acre? Ans. 3 roods 5 rds. 18.15 sq. yds. 28. What is the value of .0653 of a mile in rods, yards, Ans. 20 rods, 4 yds. 2 ft. 9.408 in. feet, and inches? 29. What is the value of .761 of a day? Ans. 18 h. 15 min. 50.4 sec. 30. What is the value of .95 of a pound Troy? L Ans. 11 oz. 8 dwt. PERCENTAGE. The term per cent. is an abbreviation of per centum, which signifies by the hundred. 1. What is 6 per cent. of $34.73 ? In order to find the 100th part of any 34.73 6 number, we need only point off 2 figures Ans. $208.38 to the right as decimals. 4.39 3 Ans. $13.17 Ans. $33.75. Ans. $221.36. 2. What is 3 per cent. of $439? The two figures which we here point off to the right of the dollars as decimals are cents, because a cent is the 100th part of a dollar. 3. What is 9 per cent. of $375? 4. What is 8 per cent. of $2767 ? 5. What is 17 per cent. of $362 ? 6. What is 7 per cent. of $2745? 7. What is 12 per cent. of $6748 ? 8. What is 7 per cent. of $6428 ? Here we point off 2 figures, for decimals, and multiply by 7 changed to an improper fraction. 9. What is 7 per cent. of $4365? 10. What is 25 per cent. of $648 ? Ans. $61.54. Ans. $192.15. Ans. $809.76. 264.28 32.14 15 $482.10 Ans. $314.28. 4)648 Ans. $162 Ans. $94. Ans. $1843.25. 25 being of 100, we simply take of the $648 for the answer. 11. What is 25 per cent. of $376? 12. What is 25 per cent. of $7363? 13. What is 12 per cent. of $392? 12 is of 100, hence, to get 12 per cent. 14. What is 12 per cent. of $479 ? 15. What is 20 per cent. of $735? Ans. $147=1 of 735. 16. What is 20 per cent. of $9347 ? 17. What is 37 per cent. of $432 ? Ans. $49. we divide by 8. Ans. $59.87. Ans.$1869.40. Ans. $162 18. What is 373 per cent. of $192? 19. What is 5 per cent. of $6340 ? of 432. Ans. $72. Ans. $317 of $6340. |