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. cf wheat equally among 270 men: what will each receive? Ans. 1bu. 1pk. 4qt. 100 100 9. Reduce 1618 to an improper fraction. Ans. 1618 10. Reduce 149139 to an improper fraction. 11. Reduce 12410 to a whole or mixed number. 19 Ans. 653. 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 of of of to a simple fraction. 6 Ans. 12. 16. In of of of 21 dollars: how many dollars? 17. Reduce of of of of of 40 to a simple fraction. 18. I bought 19. Sold of 1 did I sell? Ans. 5. of of a ship: what part did I buy? of 265 of yards of cloth: how many Ans. 131. 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. 14 441 504 324. 63 63 63 63 22. What is the least common denominator of 3, 7, 1 41 8 69 23. What is the common denominator of 3, 5, and 121? Ans. 54 72 72. 60 888 729 24. Reduce, and of 11 to a common denominator. 25. What is the common denominator of of of 2, of of 8, and 3 of 91? Ans. 20 153 168 30 30 30. 26. What is the common denominator of of 2 of 3 of 3 of 1 of 4, of 5 of 1 of 61 of 1 of 8, and 3 of 1? TO REDUCE FRACTIONS of 21 of 31 FROM A LOWER DENOMINATION TO A HIGHER. 1. Reduce & of a pound to the fraction of a cwt. 2. If you study Arithmetic part is it of a week? 3. Bought head? Ans. 16cwt. part of an hour: what of a pint of filberts: what part of a hogs 4. What part of a mile is 5 furlongs ? 5. Bought 3lb. of cloves: what part of a ton? Ans. 672 3 Ans. 3960 6. If a fly steps of a barley corn, what part is it of a league? 7. If a stone covers of a square inch of land, what part of an acre does it occupy? Ans. 25090560 3 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? 10. What part of a year is of of 21 of 31 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 denominations. Ans. 3qr. 3lb. 1oz. 12ĝdr. 2. I bought of a hhd. of wine: how many gallons did I buy? 640 3. Reduce 10% of a pound of laudanum to the lower denominations. Ans. 23. 3gr. 4. What is the value of 5. A goldsmith received the value? of an acre? of a pound of gold: what is Ans. 13oz. 14pwt. 69gr. 6. What is the value of 3 of a chaldron of coal? 7. What is the value of of a yard? Ans. 2ft. 8in. 1}bar. 8. A man travelled of a mile: how many furlongs ? of a day to the lower denominations. Ans. 12hr. 55m. 23}sec. 9. Reduce TO REDUCE FRACTIONS FROM A HIGHER TO A LOWER DENOMINATION. 1. What is the value in grains of 800 pounds Troy? 2. What part of an inch is 3. What part of a quart is Ans. 1gr. of an Ell English? of a tun? Ans. 13gt. 4. What is the value in gills of of 14 of 23 of a hhd. ? TO REDUCE A DENOMINATE NUMBER TO A FRACTION OF A GIVEN DENOMINATION. 1. What part of a ton is 13cwt. 3qr. 201b.? Ans. 3. 1776. ? 2. What part of 4cwt. 1qr. 24lb. is 3cwt. 3qr. Ans. . 4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. 11bar.? Ans. 114395. ADDITION OF VULGAR FRACTIONS. 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. 7522bu. 2. What is the sum of 263, 187, 193, 131, and 117? 3. A farmer owns three farms; the first contains 47112 acres, the second 71418, and the third 1812: how many acres in all ? Ans. 136837 acres. 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 4 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 28 miles the first day, 33 miles the third day: how far did he Ans. 90mi. 4fur. 15rd, 3ft. 11țin. 8. Add 5 days and 525 minutes together, and give the whole time. 9. How many raisins are there in cwt. 85lb. and 3,90z? Ans. 2qr. 17lb. 1oz. 311dr. 10. Find the value of of a year, of a day, of of an hour, and 3 of 23 of a minute. 11. Bought 3 pieces of cloth; the first contained of 3 of of 3 yards; the second of of 5; and the third of of: what did they all contain? Ans. 2yd. 2qr. Ina. 15. Add together 62, 133, 17 and 1323. 15 Ans. 418. Ans. 169 53 140 16. Add together of a week, of a day, and one hour. 17. Add together 14cwt. 1737b. and 74oz. Ans. 1cwt. 1gr. 6lb. 27oz. Ans. 6pwt. 15gr. of 3 of an hour from 33 2. Take of a day and of weeks. 3. A man engaged to work 41 days, but was absent by indisposition 6 days: how many days did he work? Ans. 3416 days. 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 ? Ans. 1mi. 6fur. 16rd. 6 34 10. A man sold of a house to one man, to another, and to another: what part did he still own? 15. From 13 of a £ take 2 of a shilling. 16. From 13oz. take Zpwt. 17. From 8 cwt. take 4lb. Ans. 432 Ans. £1 9s 3d. Ans. 8cwt. 3qr. 7lb. 1oz. 9ğdr. 18. From 376. Troy weight, take oz. 19. What is the difference between 13 rods and of an inch? Ans. 21ft. 11 in. |