MIXED NUMBER AND FRACTION IN MULTIPLICATION 71

6. A picture frame 16 inches long and 12 inches wide is to be made. How long a piece of molding is required for the 2 long sides of the frame? For the 2 short sides? What

is the total length required?

7. At 12¢ a foot, how much must be paid for the molding for the picture frame, if 2 inches are allowed for waste?

*8. Find the cost, at 16¢ a foot, of molding for a picture frame 24 inches long and 183 inches wide. Allow 31 inches for waste.

46. The Mixed Number and the Fraction in Multiplication

I

(1) A piece of cloth 3 yards long is cut into 2 equal parts. How long is each piece?

(2) A hair ribbon requires 14 yards of ribbon, a sash 2 times as much. How many yards of ribbon are required for the sash? 2 times 1 yards = ?

=

=

21. 11. 2 × 1 = × = 25, or 31.

The am't required 3 yd.

=

In the multiplication of mixed numbers, or of mixed numbers and fractions, reduce the mixed numbers to improper fractions and then proceed as in the multiplication of fractions.

[With pencil.]

1. Multiply: 7 by t; 4 by ; by 31; 2 by 11; 32 by 1. 2. A roll of matting containing 12 yards is cut into 3 equal lengths. How many yards are there in of the roll?

3. A piece of flowered cretonne 1 yards long is used to cover a couch pillow. A piece 43 times as long is to be used for a window seat. How many yards are used for the window seat?

4. The waist of Mildred's dress requires 12 yd.; the skirt, 2 times as much. How many yards are required for the entire dress?

1. If you were to make a cake as large as the one for which the recipe above provides, how much of each ingredient would you need?

2. Halve these recipes:

CHOCOLATE FUDGE

2 cups sugar

cup of water

cup of milk

tablespoon of butter 1 square of chocolate

WALNUT CANDY

3 cups of sugar

cup of milk

1 teaspoon of vanilla

cup of walnuts

*4. Give a recipe for 11⁄2 times the amount provided for in the recipe for chocolate fudge. Give one for of that provided for in the recipe for walnut candy.

47. Test and Graded Practice

This test is to help you find out and overcome your difficulties in the multiplication of fractions. If you fail to get the right answer to a problem in the test, practice solving the problems in the set below having the same letter, then try the problem again.

1 Pupils needing further practice will find problems of the types included under A and B on pages 65 and 70. The types included under C are on pages 64 and 72. In solving the problems, pupils should reduce the mixed numbers to improper fractions only when it is more convenient to do so.

Robert and Helen fitted up a play room. Robert put up shelves for books and made two small cupboards in which to store games and toys. Helen made the curtains and cushions for the room.

1. Each book shelf was 33 feet long. How long a piece of lumber was required for the 3 shelves?

2. Robert used 18 feet of lumber in making each of the cupboards. How many feet did he use for the two?

3. For window curtains, Helen cut a piece of muslin 10 yards long into 4 equal pieces. What was the length of each piece.

4. Helen had 8 yards of flowered cretonne, which she used for cushions. Each cushion required 13 yards of goods. After covering 4 cushions how many yards were left?

5. Robert and Helen covered the floor of their play room with matting, using in all 4 strips each 33 yards long. Estimate, and then find, the number of yards that were used.

*6. The children bought 8 yards of denim. From this piece they cut 2 curtains each 13 yards long for one cupboard, and one curtain 1 yards long for the other cupboard. How many yards were left?

49. Taking Care of Pets

[Use pencil only when needed.]

1. John built a pen for his rabbits. He enclosed a square 12 yards on a side with wire netting. Find the number of yards he required.

2.

Fred built a kennel for his Newfoundland dog. He used 60 feet of lumber at 15¢ a foot, 1 pounds of wire nails at 8¢ a pound, and of a quart of paint at 60¢ a quart. Find the cost of the materials used.

3. Margaret made a blanket for her Boston terrier. She bought of a yard of gray flannel at $1.20 a yard, and 3 yards of braid at 10 a yard. How much did the materials cost?

4. Five cents' worth of liver lasts Elizabeth's cat two days. At this rate, how much does the liver cost per week?

5. Fred spends a quarter of a dollar a week for meat for his dog. First estimate, then find, the cost of the meat per year.

6. Robert feeds his bantams of a pound of grain a day. At this rate, how much more than a bushel of grain weighing 60 pounds do the bantams eat in 3 months, or 90 days?

*7. When grain sells at $1.80 a bushel, how much does the grain for the bantams cost per day?

*8. Ruth's pony eats in 1 year 11 tons of hay and 23 bushels of oats. When hay is $32 a ton, and oats sell for $.90 a bushel, how much does this food cost per year? Per week?

50. Problem Test 1

[Without pencil.]

1. What is the value in cents of 1 quarter, 1 dime, 5 nickels, and 8 cents?

2. How much change should be received from 50¢ in buying 3 dishes of ice-cream at 15¢ a dish?

3. At a bargain sale, games were marked at 22¢ apiece. Elizabeth bought "Corner Grocery," "Who?" and "Old Maid." How much did the games cost?

4. Glass beads were selling at 15¢ a box. Margaret bought 4 boxes. How much change should she have received from $1.00?

1 See footnote page 25.