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 35T. 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. Ans. 1 4. Reduce 468 to its lowest terms? 1184 5. Reduce to its lowest terms. 3024 7. Reduce 1 45 8. Reduce 45 to its lowest terms. to its equivalent improper fraction. 9. Reduce 16 to an improper fraction. Ans. 1618. 18 100 10. Reduce 14913 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? 7 13. In 23885 of hhd. of wine: how 360 hhd. many Ans. 61125hhd. 14. In 354 bushels of wheat: how many bushels? 18 360 15. Reduce of of of of to a simple fraction. Ans. 512 16. In of of of 21 dollars: how many dollars? of of of of 40 to a simple fracAns. 5. 17. Reduce of tion. 18. I bought 19. Sold of did I sell? of of a ship: what part did I buy? of 265 of yards of cloth: how many Ans. 131 8 20. In of 15% of 57% of 100 hogsheads of sugar: how many hogsheads?. 21. Reduce, 7, 8 and 54 to a common denominator. Ans. 14, 44, 5034, 334. 363 63 63 22. What is the least common denominator of 4, 23. What is the common denominator of 3, 24. Rednce, 7 5, and 12. 54 60 888 Ans. 12 72 72. and 3 of 11 to a common denominator. 25. What is the common denominator of of of 2, of of 81, and 3 of 93. Ans. 30, 30, 30 20 153 168 of 26. What is the common denominator of of 2. of 3 of of 4, of 5 of 1 of 6 of 3 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. 2. If you study Arithmetic part is it of a week? -Ans. cwt. part of an hour: what 3. Bought of a pint of filberts: what part of a hogshead? 4. What part of a mile is 5 furlongs. Ans. 672. P 3 Ans. 8960 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 8. Bought of 3 pounds of raisins, what part of a cut? 9. What part of a barrel is of 5 of 61 of a pint ? 10. What part of a year is hour? 3 Ans. 25 5257. of 1 of 2 of 3 of an 11. What is of 21 of 400 bushels of wheat? Ans. 466 bushels TO REDUCE FRACTIONS, TO INTEGERS OF LOWER DENOMINATIONS. 1. Reduce tions. of a cut. of sugar to the lower denominaAns. 3qr. 3lb. 1oz. 12 dr. 2. I bought of a hhd. of wine: how many gallons did I buy? 107 3. Reduce of a pound of laudanum to the lower dnominations. 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 an acre? of a pound of gold: what is Ans. 13oz. 14pwt. 64gr. of a chaldron of coal? of a yard? Ans. 2ft. 8in. 1}bar. 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 2. What part of an inch is pound Troy? Ans. Ifgr. of an Ell English? of a tun n? Ans. 1gt. of 11 of 23 of a hhd.? 3 1. What part of a ton is 13cwt. 3gr. 20lb.? Ans. ៖៖ 2. What part of 4cwt. 1gr. 24lb. is 3cwt. 3qr. 171b.? 3. What part of a pound Troy is 10oz. 13pwt. 8gr. Ans. 4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. 111bar.? Ans. 138. 295 ADDITION OF VULGAR FRACTIONS. 1. I bought 22 bushels of wheat at one time, 1952 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 71410, and the third 181: how many acres in all ? Ans. 1368% acres. 4. Bought of 3 of 5cut. of sugar at one time; at another, of 5 of 6cwt.; at another, of of 8cut. · how much did I buy? 5. What is the value of of a ton, and of a cut? Ans. 12cwt. 1gr. 8lb. 12oz. 4 6. How far is of a mile and of a furlong? 7. A man travelled 283 miles the first day, 33 the second day, and 29 miles the third day: how far did he travel in all? Ans. 90mi. 4fur. 15rd. 3ft. 114in. 8. Add 5 days and 525 minutes together, and give the whole time. 9. How many raisins are there in cut. 85lb. and 31oz? Ans. 2qr. 17lb. 1oz. 31}dr. of a year, } of a day, of of 10. Find the value of 2/12 an hour, and of of a minute. 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? : Ans. 2yd. 2qr. 13na. 12. Add together, 3, 13 and 18. 16. Add together of a week, hour. Ans. 169,53%. of a day, and one 17. Add together 14cwt. 173lb. and 74oz. Ans. 1cwl. 1gr. 6lb. 2170zTM 3. A man engaged to work 41 days, but was absent by indisposition 6 days: how many days did he work? Ans. 347 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 ? 7. From 9 take 1. 8. From of a degree take 9. Take a square foot from of an acre. Ans. 1R. 18P. 5yd. 4ft. 10. A man sold 15 of a house to one man, 34 6 to another, and to another: what part did he still own? 5/2 5 4 11. One man bought of cut. of iron, another of 41 cwt.: how much did one buy more than the other? V * Ans. 3120 drams. 12. From of 12, take 19 of 3.- alt 13. From of 1 of 7, take 1⁄2 of 3. *** Ans. 431⁄2 14. From 757, take 3 of 3 15. From 1 of a £ take of a shilling. 16. From 1oz. take put. 17. From 89cwt. take 4lb. Ans. £1 9s 3d. Ans. 8cut. 3qr. 7lb. 1oz. 93dr. 18. From 3b Troy weight, take oz. 19. What is the difference between 13 rods and of Ans. 21ft. 114in. an inch? |