# Questions and Answers in Methods; Arithmetic

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 edition. Excerpt: ...Hence, multiplying the numerator multiplies the fraction. To multiply a fraction by a fraction, take Y of Yi. Divide rectangle into two equal parts and then divide each half into fourths. The whole rectangle is evidently divided into eighths. Then Va of J4 = 1/8 H of y2=3X1/8 or 3/8 Problem in multiplying fraction by fraction. Asst. Prin. 47. Invent a practical problem involving the multiplication of one common fraction by another. (4) (b) Show how the correct solution of the above problem can be illustrated by a diagram. (4) Answer A man owning Yi of a block of six building lots sold 1/3 of his share. What part of the whole did he sell? For illustration, draw a rectangle and divide it into six equal parts. The parts 1, 2, 3 indicate what he owned, 4 the whole; the lot numbered 1 is obviously 1/3 of the three lots owned; and it is likewise evident that the lot numbered 1 is 1/6 of the six lots. Then the part sold, 1/3 of V2, is 1/6 of the whole. Division of fractions. No. 1 48. Outline the work in division of fractions (common) according to the Herbartian formal steps. (6) Answer I. A1m. To divide a fraction by an integer, and thus develop the rules: Dividing the numerator by an integer divides the fraction by the integer. Multiplying the denominator by an integer divides the fraction by the integer. II. Preparat1on. 1. Call up concrete work with apples, oranges, pies and other familiar objects. 2. Use diagrams of V2, Ya. M and 6/7 of rectangles. III. Presentat1on. 1. Divide 6/7 of the rectangle into 3 equal parts. 2. What is 1/3 of 6/7? Ans. 2/7. 3. Therefore 1/3 of 6/7=2/7. 4. Or 6/7-5-3=2/7. 5. Write 6/7-7-3 in another way. 1/3 of 6/7. 6. More concrete work of like nature is done; as 8/9-7-4=2/9 or Ya of 8/9=2/9. 7. Rules developed. Given...show more

## Product details

• Paperback | 40 pages
• 189 x 246 x 2mm | 91g
• Miami Fl, United States
• English
• black & white illustrations
• 1236525191
• 9781236525192