per yard? 17. Divide 375 miles 2 fur. 7 rods 2 yds. 1 ft. 2 in. by 39. Ans. 9 mi. 4 fur. 39 rods 2 ft. 8 in. 18. A piece of cloth containing 48 yards, cost 31£ 12s; what was it Ans. 13s. 2d. 19. Divide 1061 cwt. 2 qrs. by 28. Ans. 37 cwt. 3 qrs. 18 lbs. 20. If a vessel sail 52 leagues 1 mi. 5 fur. 23 rods in 21 hours ; at what rate does does she sail per hour ? Ans. 2 leagues 1 mi. 4 fur. 3 rods. SECTION XIV. REDUCTION. 1. In 12 £. 4 s. 6 d. how many pence? Ans. 2934. 2. Reduce 36 £. 12 s. 6 d. 2 qrs. to farthings. Ans. 35162 qrs. 3. If I receive 2£ 4s. 6d. from one man, and 12s. 9 d. from another; how many pence do I receive from both ? Ans. 687. 4. In 324 panes of glass, 8 inches wide and 12 long, how many square feet? Ans. 216. 5. In 23400 cubic feet, how many inches ? Ans. 40435200. 6. In 44800 pounds, how many drams and tons ? Ans. 11468800 dr. and 20 tons. 7. In 12613} threepences, how many French crowns, at 6s. 8d. each? Ans. 473. 8. How many half inches will reach round the globe, it being 360 degrees? Ans. 3170534400. 9. How many barleycorns from Andover to Salem it being 15 miles ? Ans. 2851200. 10. In 9 tons of round timber how many inches ? Ans. 622080. 11. How many seconds in a solar year, or in 365 days, 5 hours, 48 minutes, 48 seconds ? Ans. 31556928. 12. In 25 cords of wood how many inches ? Ans. 5529600. 13. In 89763 square yards how many acres, &c. ? Ans. 18 a. 2 r.7 p. 101 ft. 36 in. 14. How often will a wheel, of 16 feet and 6 inches circumference, turn round in the distance from Newburyport to Cambridge, it being 42 miles? Ans. 13440. 15. How many minutes since the discovery of America, it being the 1st day of January, at noon, 1832 ? 16. In 24 lbs. 11 oz. 9 dr. how many drams? Ans. 6329. 17. In 50 eagles, how many dollars ? Ans. 500. 18. In 28 dollars, 17 cents, 5 mills, how many mills ? Ans. 28175. 19. In 3 eagles, 2 dollars, how many mills ? Ans. 32060. 20. Bring 345358 halfpence into pence, shillings, and pounds. 21. In 9758 pints of wine, how many gills ? Ans. 39032. 22. In 9376 quarts how many bushels ? Ans. 293. 23. How many feet are there in 72 miles? How many inches ? Ans. 380160 ft. 4561920 in. 24. How many steps of one foot each must a man take in walking one rod? How many in a mile? How many in walkiny 20 miles ? 25. How many times will a wheel 15 feet in diamater revolve in going 30 feet ? How many in going 90 feet! How many in going 40 rods ? How many in going 40 miles ? 26. How many steps, of two feet 8 inches each, must you take in going from Andover to Boston, the distance being 20 miles ? 27. How many square feet in a square yard ? How many square feet in a square rod? How many square rods in a square mile ? How many square inches in a square mile? 28. In 1 yard of cloth 4 quarters wide, how many yards 1 quarter wide? How many yards 1 quarter wide are there in 1 16 yards 4 quarters wide ? 29. How many yards of cloth, 1 quarter wide, must you have to line 1 yard 4 quarters wide ? How many to line 24 yards ? SECTION XV. DECIMAL FRACTIONS. 1. What cost 8 yards of cloth, at $7.875 per yard ? 8 Ans. 63.000. 2. How many cwt. of hay in 14 loads, containing 23.25 cwt. each ? Ans. 325.5 cwt. 3. Multiply .3 by .2 Ans. .06. 4. At $5.37 per yard what cost 7.4 yards of cloth? Ans. $39.738. 5. Multiply 1.340068 by 1.003084. Ans. 1.344200769712. 6. If an orange is worth $.06, what is .3 of an orange worth ? Ans. $ 0.018. 7. What cost 13 cwt. I qr. 15 lbs. of iron, at $4.27 per cwt. ? Ans. $57.145. 8. What will 23 lbs. 7 oz. of sugar cost, at $11.43 per cwt. ? Ans. $2.391. 9. How many times is 1.468 contained in 473.75? Ans. 322.718. 10. How many times is .002 contained in .01 ? Ans. 5. 11. .1 is .001 of what number? Ans. 100. 12. Required the sum of 973–19–1.75_93.7164—9501. Ans. 10588.4664. 13. From 480 take 245.0075. Ans. 234.9925. 14. Multiply .84179 by .0385. Ans. .032402415. 15. Divide 1 by .005643. Ans. 177.211. 16. How many times is .3 contained in 3? Ans. 10. 17. Goliah the Philistine is said to have been 6.5 cubits high, each cubit being 1 foot 7.168 English inches; what was his height in English feet? Ans. 10.383 feet. 18. If a traveller perform a journey in 35.3 days, when the days are 11.374 hours long; in how many days will he perform it, when the days are 9.13 hours long ? Ans. 43.976. 19. 1.5064 is what part of 8.944783 ? Ans. 5:4443 20. If .35 of a ton of iron cost 10 £. 3 s. 5 d., what cost a ton at that rate? Ans. 29 £. 1 s. 2 d. 2 qr. 21. Divide .003 by 0.00001. 22. Required the sum of 5.3, 11.973, 49, .9, 1.7314, 34.3. Ans. 103.2044. 23. From 209.1384 take 195.91. Ans. 13.2284. 24. Divide .8297592 by .153. Ans. 5.4232. 25. Multiply 21.31 by 10000. Ans. 213100.00. 26. Multiply .0107 by .00103. Ans. .000011021. 27. Multiply .04 by .2. Ans. .008. 28. Multiply 1.0007 by .0003. Ans. .00030021. 29. Divide .4 by 13. Ans. .03077. 30. Divide 13.84783 by 137648. Ans. .0001006. 15 0 894 4783 Ans. 3 i 300 SECTION XVI. Ans. . 26 6 a VULGAR FRACTIONS. 1. What is the sum of 1 and 1 ? Ans. 1. 2. I received from one man 4 of a cord of wood; from another i; what part of a cord did I receive ? Ans. š. 3. How many feet are there in šof a cord? Ans. 96. 4. What is the value of 14 and j? Ans 27. 5. Bought 3 loads of hay—the first weighed 193 cwt; the second 203 cwt; and the third 22 cwt.; what was the weight of the whole ? Ans. 623%. 6. What is the sum of } and ? 7. A man having lt of a quire of paper, received a more; what part of a quire had he then ? Ans. 1. 8. Add $ of a week, of a day, and an hour together. Ans. 2 dys. 144 hrs. 9. What is the amount of of a pound, f of a shilling, and of a penny ? Ans. 3 s. 1 d. 111 qr. 10. Add 4, 34, #, and y? together. Ans. 93. 11. Required the sum of of 15 £., 3. £., $ of of of a pound, and of of a shilling. Ans. 7 £. 17 s. 51 d. 12. What is the difference between 5%, and of 45? Ans. 4,36 13. What is the difference between and ? Ans. 196 14. From Ğ of a £. take of a shilling. Ans. 16. s. 9 d. 15. Reduce 159.00 to its lowest terms. Ans. í: 16. Reduce of a mile to rods. Ans. 145 “ 17. What is the value of į of 4s. 10d. ? Ans. ls. 11 d. 18. What is the value of 6 of a cwt.? Ans. I qr. 7 Ib. 19. Reduce 17 s. 7 d. 3} q. to the fraction of a pound. Ans. 20. Required the product of 3 and 44. Ans. 14.11. 21. What number is that, which if multiplied by ], will be 10%? Ans. 14. 22. What is of 130 ? Ans. 815. 23. A man, having z of a dollar, paid away i of a dollar ; how much had he left ? Ans. $2. 24. What is the difference between and 42 of a mile ? Ans. li of a mile. 25. A merchant, having 8 cwt. of sugar, sold 2. cwt. ; how much had he left ? Ans. 51. cwt. 5 12 7 13 4 5 11 11 16 3 3 231 a 12 9 10 10 CHANGING VULGAR TO DECIMAL FRACTIONS. 44 26. Add together }$. sc. &c. and įm. Ans. 20c. 9m. 27. From 13} take 1 of 15. Ans. 212 28. Divide by Ans. 21 29. Reduce 2 qrs. 2 na. to the fraction of a yard. Ans: {yds. SECTION X VII. Changing Vulgar to Decimal Fractions. 1. Reduce š to a decimal. Ans. .125. 2. Reduce 3, 2, and 3 to decimals. Ans. .375, .625, .666 +. 3. Reduce iing and 1575 to decimals. Ans. .00797 +, .00266+. 4. Reduce 1 farthing to the decimal of a shilling. Ans. .02083. 5. Reduce 13s. 5 d. to the decimal of a pound. Ans. .6729 to. 6. Reduce 7 cwt. 3 qrs. 17 lb. 10 oz. 12 dr. to the decimal of a ton. Ans. .39538+. 7. What is the value of .569 of a year ? Ans. 20 dys. 16 h. 26 mi. 24 sec. 8. What is the value of .397 of a yard ? Ans. 1 qr. 2.352 na. 9. Change 1 dollar to decimals. Ans. .5. 10. How many tenths in one? Then how many tenths in } ? 11. Change 1 £. to decimals. Ans. .5. 12. Change 1 to decimals. Ans. .25. 13. Change i to decimals. Ans, .75. 14. Change to decimals. Ans. .4. REM.— The student will find it convenient, in changing vulgar fractions to decimals, first to divide 1 dollar, 1 L., or 1 foot, as the case may be, into ten equal parts, and if necessary, into 100 equal parts, or 1000, and so on. In 1 there are 10 tenths; of course } of 1 is equal to jo, commonly written .5. Also in 1, there are 100 hundredths; consequently of one are equal to 106, written .75. 15. Change of a dollar to decimals. Ans. .6666 +.. 16. Change 1 s. to the decimal of a £. Ans. .05. |