MULTIPLICATION OF FRACTIONS

How to find the product of a fraction by a whole number.

3. Into how many halves is the square divided? Two

times a square =

square.

4. Into how many halves is the circle divided? Two times a circle =— circle.

38. When you multiply

by 8, which number is the

multiplier? Which number is the multiplicand?

You have learned that you may divide a unit into equal parts and then take any number of these parts. Thus, & of $8 means that $8 (8 units) is divided into 4 equal parts of $2 each and that 3 of these parts, or $6, are taken.

× 12 may

39. If the sign of multiplication is written after a frac tional multiplier, it may be read "of." Thus, be read "of 12." Read: x 9; 2×6; 7×4;

× 10.

Written Work

1. Find the cost of yard of silk at $2 a yard.

2. The freight on a ton of merchandise was 56 cents. What was the freight charge for § of a ton?

3. Find the cost of of a dozen buttons at $1.28 a dozen. 4. A workman earned $4 a day. How much did he earn in § of a day?

5. At 42 miles an hour, how far did an automobile travel in of an hour?.

6. A merchant owing $1236 gave his check for of the amount. For how much did he write his check?

7. Mr. Rice owned a tract of land containing 2500 acres. He sold of it to Mr. Brown and of the remainder to Mr. How much did he sell to each?

Thomas.

8. If a laborer worked of the days in a common year, how many days did he work?

9. A student's expenses at college were $720 a year. If board and tuition cost of that amount, how much did the other expenses amount to?

10. A contractor agreed to erect a building for $24,570. Labor cost of the amount, material of the remainder. Find his profit.

11. of the entire enrollment of 14,720 in school were girls. Find the number of girls and the number of boys.

12. A man whose income was $960 spent of this amount for a year's rent. Find the monthly rent bill.

13. An automobile cost $3456 and the expenses and repairs for one year were of the cost. Find the expenses.

14. A farmer bought a farm of 160 acres at $25 an acre. He erected a house costing as much as the land, and a barn costing as much as the house. Find the total cost of the property.

How to multiply a mixed number by a whole number or a whole number by a mixed number.

Oral Work

1. Find the cost of 2 pounds of butter at 48 cents a pound.

2. I bought 47 yards of ribbon at 40 cents a yard. How much did it cost?

3. A boy scout walked 3 miles in an hour. How far did he walk at the same rate in 23 hours?

4. Kate sold a customer 28 yd. ribbon @ 16 cents and 14 yd. lace @ 40 cents. What was the total of the sales slip? 5. How much did 5 pounds of fish cost at 24 cents a pound?

6. A man bought 7 gallons of oil at 12 cents a gallon. How much did he pay for it?

7. Natural gas costs 25 cents a thousand feet. Find the cost of 10 thousand feet.

8. If a lot cost $200 and a house 8 times as much, how much did the house cost?

9. Ida worked on a farm 20 days in a month for $2 a day. How much did she earn?

10. How many inches equal 94 feet?

11. At 80.cents a bushel, find the cost of 21 bushels of oats.

12. Walter bought 12 dozen collars at $2 a dozen. How much did they cost him?

13. At 12 cents a pound find the cost of 15 pounds of raisins.

14. How much did 5 yards of cloth cost at $2 a yard?

15. A workman earned 75 cents an hour. How much did he receive in 33 hours?

16. How far did an automobile travel in 24 hours at 18 miles an hour?

17. The freight on a ton of merchandise was 32 cents. How much was it for the same distance on 5 tons?

18. A gallon of water weighs 8 pounds. How much do 10 gallons weigh?

19. Find the cost of 6 eggs at 41 cents apiece.

20. Find the cost of 4 quarts of oil at 4 cents a quart. 21. Find the cost of 8 pounds of rice at 81⁄2 cents a pound. 22. Find the cost of 12 pounds of sugar at 93 cents a pound. 23. Find the cost of 6 boxes of berries at 81 cents a box. 24. A boy earned $12 a day. How much did he earn in 6 days?

25. When apples sold for $1 a bushel, find the cost of 8 bushels.

26. Mary paid $13 for music lessons and took two lessons. a week. How much did her music lessons cost her in 4 weeks? 27. Find the cost of 24 yards of silk at $13 a yard. 28. We paid 15 a quart for milk. How much was our milk bill in a week, if we used 2 quarts a day?

29. By buying 25 cents worth of street car tickets, each ticket cost me 4 cents. Find the cost of 12 tickets.

30. A storekeeper made 12 cents on each can of corn. How much did he make on 18 cans?

31. A train averaging 30 miles an hour took 8 hours to go from Dare to Eden. What is the distance between these towns?