Name the length of line required to represent: 3. A line 8 inches long, drawn to a scale of " to an inch. 4. A line 24 inches long, drawn to a scale of 3" to an inch. 5. A line 32 feet long, drawn to a scale of 6. A line 48 feet long, drawn to a scale of 7. A line 12 feet long, drawn to a scale of Draw the pattern: 8 16 " to a foot. " to a foot. " to a foot. 8. Of an 8-inch square, to a scale of 1" to an inch. 9. Of a square 2 inches on a side, to a scale of " to an inch. 10. Of a rectangle 4 inches by 6 inches, to a scale of " to an inch. 11. Of a rectangle 8 inches by 12 inches, to a scale of 3" to an inch. 12. Of a rectangle 2 feet by 62 feet, to a scale of "to a foot. 13. Of a rectangle 50 feet by 80 feet, to a scale of 3 of an inch to 10 feet. *14. Draw to any convenient scale an original pattern for a box, a portfolio, or an envelope. III. EXERCISES FOR SKILL Solve each problem, using the most convenient method: [Use pencil only when needed.] DIVISION OF FRACTIONS 187 24. Division of Fractions I. REVIEW How many pieces of cord each of a yard long can be cut from 1.. What is meant by the inversion of the terms of a fraction? In the division of fractions, which fraction is inverted? How many badges 31⁄2 in. long can be cut from 171⁄2 in. of ribbon? 3. Find another way of dividing 35 by 5 in the problem above, other than by inverting the terms of the divisor. [Use pencil only when needed.] 4. Divide: 5 by 1; 12 by ; by ; by 2; 15 by 21; 10 by 11. 5. Find how many needle books, each requiring of a yard of ribbon, can be cut from 3 yards of ribbon. 6. Sash curtains, each of a yard long, are to be made from 14 yards of muslin. How many such curtains can be made? 7. A remnant containing 7 yards of cotton cloth is bought for 60¢. This price is how much less a yard than the regular price of 12¢ a yard? [Use pencil only when needed.] inch long be repeated in a border 3 inches long, if, as in the border above, the design and the border are of the same width? How many times can the design be repeated if the border is made 71⁄2 inches long? 1. How many times can a design 2. An oak leaf design 2 inches long is to be used in making a glove box. The space on the top of the box to be decorated is of the same width as the design and 12 inches long. How many times can the design be repeated? 3. Find the number of times that a butterfly design 24 inches square can be repeated across the end of a stand cloth in a space 2 inches wide and 18 inches long. *4. Find the number of times that a design 33 inches square can be repeated in a border 3 inches wide and 171⁄2 inches long, if spaces of an inch wide are left undecorated between the designs. *5. Draw an original design 11 inches square. Find the number of times it can be repeated in borders of different lengths. The division of two numbers is often indicated by writing them as fractions. For example, 2 ÷ 5 is written as %, and 4 ÷ 7 as 4. A fraction with an integer for both numerator and denominator is called a simple fraction. A fraction with a fraction or a mixed number in either numerator or denominator is called a complex fraction. Classify each of the following fractions as simple or complex, and tell what is meant by each: 3 16 11. Express as complex fractions: 1; 9; 37 ÷ 6. II. 26. Test and Graded Practice With the help of these exercises find out and overcome your difficulties with common fractions. If you fail to get the correct answer to a problem in the test, practice solving the problems in the set below having the same letter. For simpler and more detailed practice, see pages 58, 73, and 114. |