26. Divide a leap year into 102 equal parts. 27. Divide a common year into 102 equal parts. 28. If 15 loads of hay contain 35 T. 4cwt., what is the weight of each load? 29. Divide 371bu. 1pk. of wheat equally among 270 men what will each receive? Ans. 1bu. 1pk. 4qt. 456 Ans. 12 Ans. 100 1618 100 4. Reduce 468 to its lowest terms. 5. Reduce 1296 to its lowest terms. 6. Reduce 617 to its lowest terms. 4319 7. Reduce 123 to its lowest terms. 8. Reduce 45 to its equivalent improper fraction. 9. Reduce 1618 to an improper fraction. 10. Reduce 149119 to an improper fraction. 137 11. Reduce 12410 to a whole or mixed number. 19 Ans. 6531. 12. In 67856 of pounds of sugar: how many pounds? 13. In 22085 of hhd. of wine: how 360 many hhd.? 14. In 354 bushels of wheat: how many bushels? 15. Reduce of 2 of of of} to a simple fraction. of of 21 dollars: how 6 16. In of 17. Reduce Ans. 12 many dollars? of of of 5 of 9 of 40 to a simple frac Ans. 5. of 3 of a ship: what part did I buy? 20. In of 157 of 57% of 100 hogsheads of sugar: how many hogsheads? 21. Reduce 3, 7, 8 and 54 to a common denominator. Ans. 14, 441, 441 504 63 63 639 324. 324. 22. What is the least common denominator of 3, Z 34? 1 49 89 69 5, and 121? 23. What is the common denominator of 3, 5, 60 888 Ans. 54, 99, 72. 24. Reduce, and of to a common denominator. 25. What is the common denominator of of of 2, Ans. 30, 30, 30 of of 8, and of 91? 20 153 168 26. What is the common denominator of of 2 of } of 3 of of 4, of 5 of of 6 of of 8, and 3 of 21 of 31 of 1? TO REDUCE FRACTIONS FROM A LOWER DENOMINATION TO A HIGHER. 1. Reduce of a pound to the fraction of a cut. Ans. cwt. part of an hour: what 3. Bought of a pint of filberts: what part of a hogs head? 4. What part of a mile is 51⁄2 furlongs? 5. Bought 3lb. of cloves: what part of a ton? Ans. 672 Ans. 3960. 6. If a fly steps of a barley corn, what part is it of a league? 3 7. If a stone covers of a square inch of land, what part of an acre does it occupy? Ans. 25090560 8. Bought of 3 pounds of raisins, what part of a cwt.? 9. What part of a barrel is of 5 of 61 of a pint? 567 Ans. 25 10. What part of a year is of 1 of 2 of 3 of an hour? 11. What is of 23 of 400 bushels of wheat? Ans. 4663 bushels. TO REDUCE FRACTIONS TO INTEGERS OF LOWER DENOMINATIONS. 1. Reduce of a cut. of sugar to the lower denominaAns. 3qr. 3lb. 1oz. 123dr. tions. 2. I bought I buy? 3. Reduce denominations. of a hhd. of wine: how many gallons did of a pound of laudanum to the lower Ans. 23. 3gr. 4. What is the value of 5. A goldsmith received the value? 6. What is the value of 7. What is the value of 8. A man travelled of a mile: how many furlongs? 9. Reduce of a day to the lower denominations. Ans. 12hr. 55m. 23}sec. TO REDUCE FRACTIONS FROM A HIGHER TO A LOWER DENOMINATION. 1. What is the value in grains of pounds Troy? Ans. 1gr. 2. What part of an inch is of an Ell English? 3. What part of a quart is of a tun? Ans. 13qt. 4. What is the value in gills of of 11 of 23 of a hhd.? TO REDUCE A DENOMINATE NUMBER TO A FRACTION OF A GIVEN DENOMINATION. Ans. 39 1. What part of a ton is 13cwt. 3qr. 20lb.? 56 Ans. 8 4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. 11bar.? ADDITION OF VULGAR FRACTIONS. 12 1. I bought 22 bushels of wheat at one time, 195, at another, and 335 at another: how much did I buy in all? Ans. 75309bu. 2. What is the sum of 263, 187, 193, 131, and 117? 3. A farmer owns three farms; the first contains 471 acres, the second 71418, and the third 1812: how many acres in all? Ans. 136837 acres. 19 4. Bought of 3 of 5cwt. of sugar at one time; at another, of 5 of 6cwt.; at another, of of 8cwt.: how much did I buy? 5. What is the value of of a ton, and of a cut? Ans. 12cwt. 1qr. 8lb. 12oz. 6. How far is of a mile and of a furlong? 7. A man travelled second day, and 29 travel in all ? the 283 miles the first day, 33 8. Add 5 days and 52 the whole time. 9. How many raisins are there in cwt. 85lb. and Ans. 2qr. 171b. 1oz. 31dr. of a year, of a day, of of 10. Find the value of an hour, and of 2 of a minute. 21 11. Bought 3 pieces of cloth; the first contained of 3 of of yards; the second of of 5; and the third of of: what did they all contain? 12. Add together 3, 3, 13 and 18. 13. Add together 2, 1 and 16. 16,7, 14. Add together 382, 133 and 93. Ans. 2yd. 2qr. 1}na. 15. Add together 62, 133, 173 and 1323. Ans. 41. Ans. 169. 16. Add together of a week, of a day, and one hour. 17. Add together 14cwt. 173lb. and 73oz. Ans. 1cwt. 1gr. 6lb. 2oz. 3. A man engaged to work 41 days, but was absent by indisposition 6 days: how many days did he work? Ans. 34 days. 16 4. What remains of a hogshead of vinegar if of it has leaked out? 5. A man has travelled 4mi. 1fur. 24rd: how much farther must he go in order to make 6 miles? 9. Take a square foot from and 51 of an acre. Ans. 1R. 18 P. 5yd. 4ft. 10. A man sold of a house to one man, 6 to another, to another: what part did he still own? 11. One man bought cwt.: how much did 34 of 3. 12. From of 12, take 19 of 1. 16. From 13oz. take pwt. 1989 Ans. 432 Ans. £1 9s 3d. 17. From 8 cwt. take 4lb. Ans 8cwt. 3qr. 7lb. 1oz. 93dr. oz. 18. From 36. Troy weight, take 19. What is the difference between 13 rods and of an inch? Ans. 21ft. 11 in. |