(2) Find the respective values of 1. 383 of £1.; 47083 of £1.; •4694 of 1lb. Troy. 3. 142857 of 2 guineas; 3-2095328 of 178. 6d. 4. 063 of 100 guineas; 20138 of 35 moidores. 5. 4.05 of 13 sq. yds; '163 of 23 miles; 4.90 of 4 d., 3hrs. 6. 3.242 of 2 acres ; *09318 of 21 of 2-5 days. (3) Find the difference between '77777 of a pound and 8s. 6·6648d. ; and between 70323 of a pound and 3'5646 of a shilling. (4) Subtract of a crown from £1.59375. (5) Find the respective values of the following expressions: 1. 68125 of £1.+375 of 13s, 4d. +605 of £3. 2s. 6d. 2. 33 of 6s. 8d.-40972 of a guinea + 2·75 of £30. 3. £634375+'025 of 25s. + ·316 of 30s. 4. 75 of 6s. 8d.-1·84375 of 4s.+3·9796 of 2s. 5. 2.81 of 365 days+5'75 of a week- of 55 hours. 6. of of 3 acres-200875 square yards+0227 of 34 square feet. (6) Which is the greater, 0231 of a guinea, or '19 of a half-crown. 135. To reduce a number or fraction of any denomination, to the decimal of another denomination. RULE. "Reduce the given number or fraction, to a fraction of the proposed denomination; and then reduce this fraction to its equivalent decimal." Ex. 1. Reduce of £1. to the decimal of 1 guinea. We may work such an example as the above more expeditiously, by first reducing d. to the decimal of a penny, which decimal will be 25, and then reducing 625d. to the decimal of a shilling by dividing by 12, which decimal will be 520833, and then reducing 13-520833s. to the decimal of £1. by dividing by 20, which process gives '67604166 as the required decimal of £1. The mode of operation may be shewn thus: Ex. 3. Reduce 3 bus., 1 pk. to the decimal of a load: and verify the result. Ex. 4. Add together of 21s., 4 of a moidore, § of 7s. 6d., and reduce the result to the decimal of £1. Now to reduce £2.7s. 4 d. to the decimal of £1. 54 12 4.8 2,0 7.4 37 of of £1. 128., therefore the decimal required=2·37. Ex. 5. Express the sum of 428571 of £15., of therefore the decimal required='655. Ex. 6. Convert £17.9s. 6d. into pounds, florins, &c.; and verify the result. First reduce 9s. 6d. to the decimal of £1. 12 60 2,0 9.5 .. £17. 9s. 6d. = £17·475 = £17. 4 fl. 7 c. 5 m. Again, £17. 4 fl. 7 c. 5 m. = £17.475 20 9.500 s. 12 6'000 d. .. £17. 4 fl. 7 c. 5 m. = £17. 9s. 6d. Ex. 7. Express 1 shilling and 1 half-crown in terms of the decimal coinage. Ex. 8. Reduce the difference between a cent and a penny to the decimal of 38. 4d. 1. 6s. 4d. to the decimal of £1; and 8s. 8d. to the decimal of £1. 2. 4s. 73d. to the decimal of £1; and 15s. 111d. to the decimal of £1. 3. 38. 41d. to the decimal of a crown; and d. to the decimal of £1. 4. 10s. 02d. to the decimal of £1; and 5s. 83d to the decimal of £5. 5. 1s. 34d. to the decimal of 15s.; and 12s. 1 d. to the decimal of a guinea. 6. 58. to the decimal of 13s. 4d.; and 18s. 9d. to the decimal of 27s. 7. 138. 6d. to the decimal of 10s.; and £1. 9s. 4 d. to the decimal of £1. 1 8. 9. 10. 11. £3. 11s. 9 d. to the decimal of £1; and also to the decimal of £2. 10s. 14s. O d. to the decimal of 3 guineas; and 278. to the decimal of 11 guineas. 6 guineas to the decimal of £5; and 1d. to the decimal of £100. £8. 08. 10d. to the decimal of 51d.; and 7 guineas to the decimal of £5. 10s. 11d. 12. 2 oz., 13dwts. to the decimal of 1lb.; and 4 lbs., 2 sc. to the decimal of 1 oz. 13. 2 qrs., 21 lbs. to the decimal of 1 ton; and 3 cwt., 3 oz. to the decimal of 10 cwt. 14. 2 fur., 41 yds. to the decimal of a mile; and 1 fur., 30 po. to the decimal of a league. 15. 16. 2 sq. ft., 73 sq. in. to the decimal of a square yard; and 3 ro., 20 po. to the decimal of an acre. 14 gals., 2 qts. to the decimal of a barrel; and 3 qrs., 3 pks. to the decimal of a load. 17. 4 days, 18 hrs. to the decimal of a week; and 11 sec. to the 18. decimal of 5 days. 13 guineas to the decimal of £11.; and 1 lb. Troy to the decimal 1 lb. Avoirdupois. 19. 2 inches to the decimal of 23 miles; and 1 st., 6 lbs. to the 20. 21. decimal of 3 lbs. 32 pks. to the decimal of 3 qrs.; and 27 gals. to the decimal of 13 qts. 52 yds. to the decimal of 2 Fr. ells; and 1 ton, 21 cwt. to the decimal of 1 cwt., 21 qrs. 22. 3 wks., 51 d. to the decimal of 5 hrs.; and 1 min., 2 sec. to the decimal of of a lunar month. 23. 3 reams to the decimal of 19 sheets; and 31 acres to the decimal of 31 sq. yards. 24. 33 yds. to the decimal of a mile; 3s. 5d. to the decimal of a dollar, a dollar being 4s. 3d.; and 78. 81942 d. to the decimal of 10s. 6d. (2) Reduce 10000 1. of 13s. 6d. to the decimal of £1; and of half-a-crown to the decimal of 1s. 2. § of a crown to the decimal of 218.; and 63 cwt. to the decimal of a ton. |