21. Take 30 from 663; 453 from 663. 22. Take 112 from 145; 901 from 1081. 23. Subtract 2503 from 300; 1053 from 261. 24. Subtract 130g from 2413; 1663 from 2331. Art. 69. RULES.-1. To subtract fractions, Reduce the fractions to a common denominator, subtract the numerator of the subtrahend from the numerator of the minuend, and under the difference write the common denominator. 2. To subtract mixed numbers, First subtract the fractions and then the integers. LESSON VIII. Problems involving the Addition and Subtraction of Fractions. 1. A boy spent of his money for a sled, and of it for a pair of skates: what part of his money had he left? 2. John bought a knife for of a dollar and a ball for of a dollar, and then sold both of them for of a dollar. What part of a dollar did he gain? 3. Jane having of a quart of plums, gave of a quart to her brother and of a quart to her sister how much had she left? 4. A farmer bought 13 bushels of clover-seed, and then sold of a bushel to one neighbor and of a bushel to another: what part of a bushel had he left? 5. A student spends ' of it in labor, and has he left? of his time in study, of it in sleep: what part 6. One sixth of a pole is in the ground, of it in water, and the rest in the air: what part is in the air? 7. A man bequeathed of his estate to his wife, of it to each of his two sons, and the rest to his daughter: what part did the daughter receive? 8. A man did of a piece of work the first day, of it the second day, and then completed it the third: what part of the work did he do the third day? WRITTEN EXERCISES. 3 9. From the sum of 2, 3, and take 1. 49 10. From the sum of and take their difference. 15 11. A man owning of a vessel, sold and of the vessel: what part had he left? 12. A farmer bought 240 acres of land, and sold 9 acres and 751 acres: how many acres had he left? 13. From a piece of broadcloth containing 203 yards, a merchant sold 5 yards, 41 yards, and 81 yards: how many yards were left? 14. A man earned $563 one month and $70% the next, and then gave $85 for a horse: how much money had he left? 15. From the sum of 47% amd 33 take their difference. ΙΣ 16. A pedestrian walked of his journey the first day, of it the next day, and completed it the third day: what part of the journey did he travel the third day? LESSON IX. Fractions multiplied by Integers. 1. What part of a cake is twice 2 eighths of it? 3 times 2 eighths of it? 2. A father gave 3 fourths of an orange to each of 4 children: how many fourths did they all receive? 3. How much is 4 times ? 6 times ? 4. If a boy earn 2 thirds of a dollar in a day, how much will he earn in 3 days? 5. How much is 3 times 6. How much is 6 times ? ? 5 times? 9 times ? ? 8 times ? g? 8. How much is 5 times 63? 7 times 81? SUGGESTION. Multiply the integer and the fraction separately, and add the products. 9 times 8? 9. How much is 3 times 6? 8 times 7? 10. How much is 6 times 4? 11. How much is 8 times 63? 8 times 7? Art. 70. PRINCIPLE.-A fraction is multiplied by multiplying its numerator or dividing its denominator. Art. 71. RULES.-1. To multiply a fraction by an integer, Multiply the numerator or divide the denominator. 2. To multiply a mixed number by an integer, Multiply the fraction and the integer separately, and add the products. LESSON X. Fractional Parts of Integers. 1. If 6 pears be divided equally between 2 boys, what part of the whole will each receive? |
