3. Reduce lb. of butter to drams. lb. Oz. dr. Ans. 1991 dr. × 16=112, × 16-1722-199 dr. 4. Reduce yd. to inches. yd. 7 ft. 21 320, in. Ans. 3 in. 31=3, × 12=3. Ans. Or, 113 in. 320 5. Reduce .48 yd. to nails. 320 Ans. 7.68 na. 9. Reduce hhd. of wine to pints. 10. Reduce .375 T. to pounds (Avoirdupois). Ans. 20736 c. in. 17. Reduce 13.5 hhd. of beer to quarts. 19. Reduce 5.24 lb. of calomel to ounces. 20. Reduce 7 lb. (Troy weight) to grains. Ans. 1332 pwt. Ans. 83.84 oz. Ans. 40320 gr. 21. Reduce .65 of a yard to quarters. Ans. 115.2 sheets. 23. In of a barrel of flour how many pounds? 24. Reduce 7 lb. 8 oz. of butter to drams. Ans. 78 lb. Ans. 1930 dr 13 25. In 3 lb. of brass how many ounces? Ans. 12 oz. 300 ART. 55. To reduce a simple denominate number of a lower denomination to a denominate number of a higher. Examples. 1. Reduce 15969 gr. to pounds. Ans. 2 lb. 9 oz. 5 pwt. 9 gr. 24)15969 gr. 20)665 pwt. 9 gr. 12)33 Oz. 5 pwt. 2 lb. 9 oz. 2. Reduce of an inch to the fraction of a yard. Explanation.- of an inch is of of a ft., which is yd. 3. Reduce .48 of a nail to the decimal of a yard. 4. Reduce 25.6 dr. to the decimal of a pound. 10 lb. 3 oz. 1 pwt. 21 bu. 6 qts. 1 pt. Ans. 12 m. 2 fur. 7. Reduce 1357 pts. to bushels. Ans. 8. Reduce 98 furlongs to miles. 9. Reduce 307200 perches to square miles. 10. Reduce 4032 gills to hhd. of wine. 11. Reduce gal. to the fraction of a hhd. 12. Reduce hours to the fraction of a day. 13. Reduce 63 pt. to the fraction of a bu. 14. Reduce 645 in. to yd. 15. Reduce 2176 cu. ft. to cords. 16. Reduce 1152 qt. to hhd. 17. Reduce 623 nails to yards. Ans. 3 sq. m. Ans. Ans. To Ans. 17 yds. 2 ft. 9 in. Ans. 17 cords. Ans. 4 hhd. 36.2 qt. Ans. 38 yd. 3 qr. 3 na. 18. Reduce 23.04 drams to lbs. Ans. .09 lb. Ans. 1.1 weeks. 19. Reduce 184.8 hours to weeks. 20. How many acres in a street 5 rods wide and 21 miles Ans. 25 acres. long? ART. 56. To find what part one denominate number is of another? Note. The first ten examples contain abstract numbers, and are designed to introduce denominate numbers. Examples. 1. 8 is what part of 12? Ans.. Explanation.-1 is of 12, and 8 is 8 times of 12, which is of 12=3 of 12. 2 2. 9 is what decimal part of 15? Ans. .6. Explanation.-9 is of 15, and changed to a decimal is .6. 3. is what part of?? 15 Ans. . }=}. Or, ;=, and 3=√2; f=3. Since is of '2, 16 39 16 6 39. Ans. Ans. 1. 9 Ans. .75. Ans. .8. Ans. .45. Ans.. Ans. . 2 ft. 6 in. 30 in., and 1 yd.=36 in.; 30 in.÷36 in.=§. Suggestion.-Reduce denominate numbers to the same de 14. What decimal part of 5 hours is 40 minutes? 15. What decimal part of 5 gals. is 3 qts. 1 pt.? 16. What part of $5 is 874 cents ? 18. What part of .45 lb. Troy is .45 oz. ? 19. oz. is what part of lb. Avoirdupois ? 20. 4 quires of paper is what decimal part of a ream? Ans. .2. Ans. . 21. What part of a mile is 6 fur. 16 rds. ? Ans. .85. 23. What decimal part of a bushel is 3 pks. 4 qts. ? Ans. .875. 24. What part of a week is 3 d. 17 h. 36 m. ? Ans. 183. ART. 57. To reduce a fraction of a higher denomination to integers of a lower. ART. 58. Ex. 1. Add together 5 lbs. 6 oz. 13 pwts. 22 grs. ; 12 lbs. 9 oz. 18 pwts. ; 7 oz. 19 pwts. 21 grs. ; 24 lbs. 11 oz. 18 grs. lbs. Oz. pwts. gra. 5 6 13 22 12 9 18 00 7 19 21 24 11 00 18 43 11 12 13 Ans. Explanation.-Having written numbers of the same denomination in the same column, add, reducing as far as possible the lower denominations to a higher. In this example, the sum of the grains is 61 grs.= 2 pwts. 13 grs. Write 13 grs., and add the 2 pwts. to the column of pwts., and proceed as before. 2. A man purchased 4 loads of corn: the first contained 25 bu. 3 pks. 7 qts. 1 pt.; the second, 30 bu. 2 qts.; the third, 37 bu. 1 pk; the fourth, 29 bu. 1 pk. 7 qts. 1 pt. How much did he buy? Ans. 122 bu. 3 pks. 1 qt. 3. Find the sum of 5 gals. 3 qts. 1 pt.; 10 gals. 1 pt. 1 gill; 25 gals. 1 pt.; 19 gals. 1 qt. 1 gill; and 30 gals. 1 pt. 3 gills. Ans. 90 gals. 2 qts. 1 pt. 1 gill. 4. A man has 4 farms. The first contains 110 A. 3 R. 25 P.; the second, 95 A. 1 R. 20 P.; the third, 205 A. 0 R. 15 P.; and the fourth, 90 A. 3 R. 35 P. How many acres in 502 A. 1 R. 15 P. |