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MISCELLANEOUS EXAMPLES.

1. Reduce 24374 to a mixed number.

315

2. Reduce 421 to an improper fraction. 3. Reduce 1888 to its lowest terms.

1*

9

4. Arrange in order of magnitude 7, §, 11. 5. Multiply by 17.

6. Divide 43 by 22.

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80 343

17. Reduce 35 to a fraction having 101 for a denominator.

18. Reduce 1837 to its lowest terms.

2928

19. Reduce 6254 to an improper fraction.

20. Reduce 1 to 1098ths.

21. What is the value of 4+ (16g - 148)?

22. Multiply of 4 of 6, by 17.

23

23. of is 1 of what number?

24. Divide 144 by 17.

25. Divide 126 by 134.

26. Reduce 402 to an improper fraction.

27. 1 is of 5 of what number?

28. Reduce, 8, 11, 13, and to a common denominator.

26

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49. Simplify

38. Add 37%, 431, 572, and 35.

39. Reduce 8165, to an improper fraction. 40. Find the value of (163 + 141) × 7.

[blocks in formation]

42 X 18 X 75 X 6
25 X 17 × 14 × 9

3+63-7+5 416-28 +63 – 15

50. Simplify

51. Simplify (34 × 2a) + (63 × 38).

(16

+

11) - (8룸 금)

=

MISCELLANEOUS PROBLEMS.

1. What cost 16 yards of cloth at $51⁄2 a yard?

2. At 223 cents a pound, how many pounds of coffee can be bought for $47.85?

3. What cost 45 acres of land at $621⁄2 an acre?

4. At 31 cents a foot, how many feet of boards can be bought for $36.53?

5. What will a steer which weighs 1112 pounds cost at 43 cents a pound?

6. If 40 barrels of apples cost $273, what will 1 barrel cost?

7. At 281 cents a dozen, what will 650 eggs cost?

8. At $13 a ton, how many tons of hay can be bought for $275?

9. If of a cord of wood cost $63, what will 10 cords cost?

10. How many pounds of butter, at 321⁄2 cents a pound, must be given for 371⁄2 pounds of sugar, at 6 cents a pound?

11. A sold his house for $3500, and thus lost of the cost; what was the cost?

12. A farm was sold for $8400, which was at a gain of of the cost; what was the cost?

13. A horse which cost $160 was sold for $120; what part of the cost was lost?

14. A lot which cost $400 was sold for $480; what part of the cost was gained?

15. The circumference of the hind wheel of a carriage is 10 feet, and of the fore wheel 7 feet; how many revolutions will each wheel make in going a mile (5280 feet)?

16. A and B can do a piece of work in 12 days, and B alone can do it in 20 days; how long will it take A to do it?

17. A cistern can be filled by one pipe in 15 hours, and by another in 20 hours; in what time can the two pipes fill it, flowing together?

18. B owned of a farm, and sold of his share for $6240; what was the farm worth?

19. C's house and barn cost $8425; what was the cost of as much as the house?

each if the barn cost

20. A miller sold of all his wheat, and the next day bought 200 bushels; he then found that he had as much as at first; how much had he at first?

21. If a pole 121⁄2 feet long cast a shadow 9 feet long, how long must a pole be to cast a shadow 21 feet long at the same hour of the day?

22. By what number must 25 be multiplied so that of the product may be 521?

23. A fortune was left under the following conditions: A was to receive of it, B of the remainder, and C of what then remained. It was found that A received $10,000 more than C; what was the fortune?

24. A miller bought wheat at 65 cents a bushel, and sold it at 75 cents a bushel, gaining $117 by the transaction; how many bushels did he buy and sell?

25. My salary is $133 per month, and my monthly expenses amount to $150; I have previously saved $300; if I take each month from my savings enough to make up the deficiency, how long will they last?

26. A merchant invested of his capital in groceries, of the remainder in dry goods, of what then remained in hard14 ware, of what then remained in notions, and the balance in glassware; what was his capital, if he invested $700 more in groceries than in glassware?

27. A Western farmer, being asked how many sheep he had, said his sheep were in four fields: in the first field there were 108, which was of the number in the second; the number in the second was of the number in the third; and the number in the third was sheep had he?

of the number in the fourth; how many

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1. IF a square inch is divided into ten equal parts, what is one of these parts called? What are 2 of these parts called? 3 parts? 7 parts? 9 parts?

2. If one-tenth of an inch is divided into ten equal parts, what is one of these parts called? What are 2 of these parts called? 12 parts? 65 parts?

3. If one-hundredth of an inch is divided into ten equal parts, what is one of these parts called? What are 8 of these parts called? 15 parts? 125 parts? of to? 10 of 100?

4. What is

87. These expressions, one-tenth (6), one-hundredth (1), eight-thousandths (100), one ten-thousandth (10boo), etc., are called Decimal Fractions.

Decimal fractions are thus seen to be only a special kind of common fractions.

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