pk. are neither bush. nor #pk.; but bush.= $pk. (Art. 148), and then pk.pk.pk. Hence, RULE. Reduce the fractions, if necessary, first to the same denomination, then to a common denominator; after which write the sum of the new numerators over the common denominator. 10 11. Add together T5, 5, 5, 15, and 1. 1259 67 1259 Ans. 23. Ans. 43. }+&+&=18+28+48 (Art. 147, Rule 2) = 18, Aus. 15. Add together 3 and §. 3+8=38+33 (Art. 147, Rule 1) = 13=133, Ans. 16. Add together, 3, and 4. 17. Add together 2, 1, and g. ་ 16 + ✩+9=1+1+1=1=11, Ans. 18. Add 1, 6, 12, and 18. 89 152. Rule for adding fractions? Can unlike numbers be added? Of what kind is the sum of two or more numbers? 23. Add s. to 3d. s.+3d.=24d. +3d. = 73d.+1}d.={}d.=57d., Ans.. or, fs.d.35. +1s. =365.+s. 1s., 2d Ans. == 1st Ans. 24. Add ggal. to qt. 25. Add together bush. pk. and ğqt. 26. Add together ton cwt. and qr. = Ans. qt. or gal. (c) To add two fractions that have a common numer ator: Multiply the sum of the denominators by either numerator, and lace the product over the product of the denominators. 27. What is the sum of 3 and ? and ? =17, Ans. and? 28. What is the sum of 29. What is the sum of (d) To add mixed numbers: Add the sum of the fractions to the sum of the integers 1+3=38+18=47=17; 3+4=7; 31. What is the sum of 54, 35, and 123? 35. What is the sum of of 3 of 63, 4, 8巷 Ans. 2113. and 43? 36. What is the sum of 38, 63, and of &? 37. What is the sum of 3, 4, 85, and 25 ? 38. How many are 83+33 +83 +14 ? 152. Mode of adding two fractions that have like numerators? adding mixed numbers? Mode of PROBLEM 15. 153. To subtract a less fraction from a greater: RULE. Prepare the fractions as in addition, and then write the difference of the numerators over the common denominator. 11. From (a) take 3. —=1-18=f, Ans. (See Art. 152, a). X-X=8—4—3}-1}}}, Ans. 22. From of take of fr 23 From of 14 take of 19. Ans. 153. Rule for subtracting one fraction from another? How are the fractions prepared in addition? 30. From s. take d. (See Art. 152, b). (b) s. d.2d.d.§gd.d.§3d.138d., Ans. 60 or, 4s. d. 4s.—s. = 40s. s. s., 2d Ans. = 31. From qt. take pt. 32. From ton take cwt. 4 Ans. = 420 qt. or 14pt. 33. From acre take a rod. Ans. 188a. or 6723rd. 448 NOTE. The answer to these examples may be in any denomination of the table. 34. From of a week take of an hour. (c) To subtract when the fractions have a common numerator: Multiply the difference of the denominators by either numerator, and write the product over the product of the denominators. (d) To take a mixed number from a whole or mixed number. 38. From 6 take 23. 632841, Ans. (See Art. 152, d). 153. Mode of subtracting when the fractions have a common numerator? 39. From 8 take 271. 8-217-714-275, Ans. In Ex. 38, take from , and 2 units from 6 units; but in Ex 39 we cannot take from,.. reduce one of the 8 units to 11, and add it to the, making 15, and then take the , and the 2 units from the remaining 7 units. from 93—33=87 — 3 — 843-335=517, Ans. 40. From 93 take 3. 5. Subtract 1815 from 2517. 76. Reduce 233 to an improper fraction. 7. Reduce 8 to a fraction whose denominator is 27. S. Reduce 9 to 6 fractional forms. 9. Divide by f 10. Divide 16 by 23. 11. Divide by 3. 12. Reduce of a day to hours, minutes, and seconds. 13. Reduce 3pk. 5qt. 1pt. to the fraction of a bushel. 21. Reduce of of 1 to a simple fraction. 153. Mode of taking a mixed number from a whole or mixed number? |