MULTIPLICATION AND DIVISION. 1. The two factors are 341 and 257; what is the product? Ans. 87637. 2. The divisor is 15, the quotient 31, and the remainder 5; what is the dividend ? Ans. 470. 3. One factor of a number is 12 and the other factor is 2602 ; what is the number? Ans. 31224. 4. The remainder is 14, the quotient 407, and the dividend 61878; what is the divisor ? Ans. 152. 5. If a ship sail 185 miles in a day, how far will it sail in 51 days ? Ans. 9435 miles. 6. If the earth moves in its orbit 68000 miles in an hour, how far will it move in 24 hours ? Ans. 1632000 miles. 7. James earned $15 in a week and paid $5 for his board ; how much did he save in 52 weeks ? Ans. $520. 8. A drover bought 45 horses at $84 each, 72 cows at $25 each, 315 sheep at $6 each ; what did they all cost? Ans. $7470. 9. Two men start from the same place and travel in opposite directions; the one goes 5 miles an hour and the other 3 ; how far apart will they be in 12 hours ? Ans. 96 miles. 10. If the men mentioned in the last example had traveled the same direction for 12 hours, how far apart would they be ? Ans. 24 miles. 11. The divisor is 8, and the quotient 1142; what is the dividend ? Ans. 9136. 12. If one sheep cost $5, how many sheep can be bought for $2315 ? Ans. 463 sheep. 13. The salary of the President of the United States is $50000; what is it per day? Ans. $137. 14. There are 3150 gallons in 50 hogsheads; how many gallons are there in one hogshead ? 15. The dividend is 582, the divisor 15, and the remainder 12 ; what is the quotient ? Ans. 38. 16. The three factors of a certain number are 35, 43, and 57; what is the number? 17. What is the cost of 554 acres of land, at $65 an acre ? 18. The wine gallon contains 231 cubic inches; how many cubic inches are in a hogshead of 63 gallons ? . 19. A drover bought 53 horses at $75 each, 25 cows at $21 each, 3458 sheep at $6 each : be sold them for $251 less than he paid; for how much did he sell them? Ans. 24997. 20. What number multiplied by 11 gives 638 ? REDUCTION OF FRACTIONS. 63 90 48 100 4 5 Reduce to the least common denominator, 1. $,$$. Ans. 16, , 14 2. }, 4, . Ans. 295, 315, 17%. 3. , %, Ans. 19% M, 188, 4. t of , f off, and 3 of %. Ans. 44, 42, 44. 5. 1 of 2), f of 3), and of 54. Ans. 18, 15.0, 6. 6. 1, 1, and . Ans. $ Ž, ŽE 7. 3, 4, and Post Ans. , 1l, 8. 4, 5, , and Ans. , 13, 14, 용 9. }, s, 1, $, , and % Ans. 188, 18, 36, 385, 344, 388. 10. 17, 31, 41. Ans. 15, 2009 60 60 12, 108 80 90 7 252 60 1. What is of f? of? 1 of 4 ? } of ? ; of #? of ? 2. One-third of 6 is 4 of what number? ? ? ? ? ? ? ? ? ? 3. One-third of 9 is of what number? 1? 1? 1 ? ? 3? 3? 10 ? 1? ? 4. Two-thirds of 9 is of what number? į? ? ?? 7 ? ? $? to? 11 ? 1g? 5. One-third of 12 is of what number? 1? *? ? +? ? ? ? ? 1? 6. Two-thirds of 12 is of what number? 1 ? ? ? ? 1? 1? 1? *? 12? # 10 11? 9. One-fourth of 12 is 1 of what number? 3? 1? 1? ? ? ? 10 ? ? ? 11 8. One-half of 12 is } of what number? 1 ? ? ? 7 ? ? ? to? It? 1? 9. Three-fourths of 12 is of what number? 1? 1? 3? *? *? $? 1? 11? 11? 11? 10. One-fourth of 16 is of what number? j? ? 1 ? ? ? ? ? 1 ? ? itth 11. One-half of 16 is of what number? 1? 1? * ? 4? 1? ? to? t ? 1? 12. Three-fourths of 16 is of what number? 3? 1 ? *? ? ? ? ? ? ? ? 13. One-third of 18 is of what number? 7? }? 1? 을 7 ? ? ? ? ? 1g? 12 14. Two-thirds of 18 is 1 of what number? 1? 1? 1? ? ?? ? ? ? ? ? 15. What part of 1 is ? ? ? ? *$ 16. What part of 2 is f ? ? ? ? Ans. £, £, , to 17. What part of 3 is 1 ? 1 ? ? ? ? $ $*$ Ans. 5, 1, $, te, to. 18. What part of 4 is } ? ? ? ? Ans. $,$,, %. 19. What part of $ is 1 ? 1 ? ? ? ? Ans. , , , , 20. What part of 4 is 1 ? } ? f ? ? ? Ans. , is, }, {1, 14. 21. What part of 5 is 1 ? 1 ? ? ? ? $. Ans. to, 15, i, o, 22. What part of 20 is 4? 5? 6? 102 15 ? Ans. *, 4, }, }, &. 23. What part of 25 is 4 ? 5? 67?10? 121 ? Ans. , }, }, }, J. 24. What part of 100 is 4? 5? 6? 10 ? 121 ? Ans. to, zbo, be to, š. 25. What part of 54 is j ? 11 ? 21 ? 31 ? 41 ? Ans. t, it, I', 1, . 26. What part of 61 is 1 ? ? 11? 11 ? 11? Ans. zł, , , , 27. 1 is of what number ? ? ? ? ? + Ans. 7, 3, 2, 11, 13. 导? ? 导 29. 6 is of what number ? ? ? ? ? Ans. 42, 21, 14, 101, 8%. 30. 7 is 4 of what number ? ? ? ? ? Ans. 49, 241, 163, 124, 94. 31. 4 of 14 is of what number ? $? 4? ? *.? Ans. 4, 6, 8, 10, 12. 32. of 14 is 4 of what number ? ? ? ? ? ? Ans. 8, 12, 16, 20, 24. 33. $ of 14 is of what number? $? ? *? 1? Ans. 12, 18, 24, 30, 36. 34. of 15 is of what number? } ? ? ? 3? 를 Ans. 18, 27, 36, 45, 54. 35. 4 of 15 is of what number ? ? ? ? ? Ans. 24, 36, 48, 60, 72. MULTIPLICATION OF FRACTIONS. PROBLEMS, 1. Multiply } by 1. x1= t; and by alternating, 1 x }= t. 2. Multiply } by 1. * x1 = $; and by alternating, 1 x } = f. 3. Multiply 4 by 1. 1 x1= 4; and by alternating, 1 x t= 1 4. Multiply } by 2. * x 2 = ; and by alternating, 2 x t = . 5. Multiply f by 2. * x2 = $; and by alternating, 2 x f = f. } 6. Multiply by 2. x 2 = 4; and by alternating, 2 x j = 4. $ 7. Multiply by 2. * x 2 = 4; and by alternating, 2 x * = *. 「 ဒီ off |