How many Into how many equal parts is the rectangle divided? What part of the rectangle is one of these parts? Two of them? 's are there in of the rectangle? In of it? + of it? In 2. Solve, using the (3) 季 + 吉 3. / + 10 B = = = ? ? 능 One of these parts is what part of the rectangle? How many's are there in of the rectangle? In of it? In + of it? In 10 0 3 of it? 4. Solve, using the rectangle B, if necessary: 5. Solve, using a divided rectangle if necessary: ᄒ =? Into how many squares is the rectangle divided? One of these squares is what part of the rectangle? 3. How may the denominator of the sum, or difference, of two fractions be found from the given denominators more quickly than by drawing and dividing a rectangle and counting its parts? with 4x3+2x5 or 18+18, or 5 X 3 3 X 5' 4 X 3 5. If the denominator of a fraction is multiplied by a number, what must be done to its numerator that the value of the fraction may not be changed? 6. In this way find the following sums and differences: A number like 83, which is made up of a whole number and a fraction, is called a mixed number. To add or subtract mixed numbers, first add or subtract the fractions, then add or subtract the whole numbers, and then add the two results. Why is the minuend, 915, in (2) changed to 835? 4. Henry Adams has 5 A. of land in one field and 10ğ A. in another. How much land has he in both fields? 5. Fred drives 5 miles on Monday; 33 miles on Tuesday, and 6 miles on Wednesday. How far does he drive in the three days? 6. One man works 4 days and another 3 days. How much longer does the first work than the second? 7. From a bin containing 5ğ bushels of corn 3 bushels were removed at one time, and 1 bushels at another. How many bushels then remained in the bin? 1. 2 × of the rectangle equals what part of it? 2. 3×? 2x=? 4× What part of the whole rectangle is one of the small squares? How many of these squares are there in of of the rectangle? What part of the whole rectangle is Divide any rectangle into 6 equal parts by lines running across it one way, and into 4 equal parts by lines running across it the other way. Show first, what part of the whole rectangle of of it is, and then what part of=? Show on a rectangle that of of it is. 7. Compare the product of the numerators of the fractions in each exercise in problem 6 with the numerator of the result. Compare the product of the denominators of the fractions in each exercise in problem 6 with the denominator of the result. How may the product of two fractions be found quickly? 8. Solve by the quicker method: DIVIDING FRACTIONS 325 1. How many-lb. packages can be made from 18 of a pound of pepper? 2. John worked of a week and Joe of a week at the same weekly salary. What part of Joe's pay for the week did John's pay equal? Divide a rectangle into 5 equal parts by lines running across it one way, and into 3 equal parts by lines running across it the other way. Into how many equal parts is the rectangle then divided? What part of the whole rectangle is one of them? To how many 's is equal? ?? 1/85 ÷ 18 =? 3 ÷ 3 =? 9 6. How may two fractions be changed to equivalent fractions having the same denominator, in a quicker way than by using a divided rectangle? (Prob. 3, p. 324.) |