317. How many i's = $? How many t's 's = ? 2 = how many times 1? = how many times ? How many times is i ft. contained in 3 ft? 6 4 times. 3 ft. ; 1 ft. 3 fourths ; 1 fourth 6 yd. • 2 yd. times. • \ = 4 of 2 qt. = qt. of x = 1: } of 3 ft. = ft. f of } = g. 4 is contained in 1 times. $ is contained in 1 times. is contained in 1 how many times? $ is contained in 4 how many times? is contained in t how many times? is contained in 4 how many times? 1 is contained in 1 how many times ? 4 is contained in 2 how many times? How many 's are there in 1! In 2? In 5? 318. Complete and read: 1 in. + } in. = 14 in. (one and one-half inches), or in. 6 2 in. + 1 in. = 3 in. + 5 in. 1 in. + $ in.= 1 hr. + 4 hr. = 5 in. + 4 in. 4 gal. + gal. 319. In 14 gal. how many fourths? How many quarts ? In 2} bu. how many halves? How many pecks? In 1} in. how many eighths? In 23 inches? In $38 how many fourths, or quarters? In 2} yd. how many halves? How many fourths? Change to fourths: 3 23 41 31 을 51 Six half-inches = how many inches? Twelve quarter-inches how many inches? Three half inches = how many inches and half-inches? How many inches in in.! In in.? In 16 in.? How many inches and half-inches in in.? In fin.? 320. 1. If a horse eats three times a day, and eats 1 pk. of oats at a time, how many half-pecks will he eat in 6 days? How many pecks? How many bushels? 2. When milk is 3¢ a pint, how much must be paid for 11 quarts? 10 11 3. If } of a yard of cloth costs 24¢, what does of a yard cost? 4. How many sheets of paper at ¢ apiece can you buy for 5¢? 5. If of a yard of ribbon costs 184, what is the cost of 1 of a yard? Of } of a yard? 6. Tom earned ; of a dollar on Monday and i of a dollar on Tuesday. How much did he earn? 7. A box is gyd. long and i yd. wide. By how much does the length exceed the width? 8. Each side of a square is į ft. long. What is the perimeter? 9. A lady who had ; of a gallon of milk sold a quart to a neighbor. What part of a gallon had she left? 10. A man who had $40 spent $10. What part of his money had he left? 11. Tillie had 3 of a yard of velvet and gave Nell } of it. What part of a yard had Tillie left? 12. Draw a rectangle 12 in. long and 4 as wide. How many square inches in 1 of it? In 3 of it? 321. £ How many 's are equal to 3? Then is how many times ? Multiply numerator and denominator of } by 2. What is the result? When } is changed to , how is the size of the parts changed? Are more of them taken? By what must numerator and denominator of be multiplied to change it to $? The part on the left of CD is how many times as large as one of the parts on the right? The number of parts on the right of CD is times the number of parts on the left. Multiply numerator and denominator of į by 3, and explain the result. Divide numerator and denominator of by 4. Is the result equal to g? By what must you divide numerator and denominator of 1 to change it to ?? Show that the following is true: If both numerator and denominator of a fraction are multiplied, or divided, by the same number, the value of the fraction is not changed. 322. Change , 3, and to 12ths. Both numerator and denominator of 1 must be multiplied by 12 = 2, or 6. Both numerator and denominator of ; must be multiplied by 12 = 3, or 4. By what must both numerator and denominator of be multiplied? Change: and á to 12ths. 4 6 6 8 10 30 7 5 To 09 100 100 100 323. Change to smaller denominators: 9. 3, 4, 5, M 12. 15, 16, 13, 18 10. 13. 11. 4, 8, 12, 13 14. , 15. In hof a dozen how many half dozen ? 16. In of a dozen how many 12's of a dozen ? 17. In of a dozen how many li's of a dozen ? 18. How many more oranges are } of a dozen than į of a dozen? What part of a dozen more! 19. How many 12ths of a foot (inches) in 4 foot ? In foot ? 20. In 1} yards how many thirds? How many feet? 21. How many yards in syd. ! How many feet? 22. How many ones are equal to f? 12! 14? 23. How many ones and thirds in ! In ? 10? 24. In how many fourths! In how many halves ? 25. Change 14 bu. and į bu. to pecks, or fourths (of a bushel). Addition and Subtraction. 324. Fractions that have a common denominator are called Similar fractions. Only similar fractions can be added or subtracted. Change to similar fractions and add or subtract as indicated: 1. }+d=0 9. +12=12 17. $ 2. $+6= 10. }+12=12 18. 3 = 3. }+=T 11. 3+12=12 19. } 4. +=o 12. $ +12=12 20. 1 품 5. + = 13. $+12=12 21. 3 6. += 14. {+=12 22. . 7. (+1=12 15. !+ 3 =12 23. Ž 12 8. * +12=12 16. 1+1=12 24. i -12=12 2 12 12=12 12=12 = 3 6 |