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3. If pound of candy cost 10, what will 1 pound cost?

4. If pound of candy cost 6, what will pound cost?

5. If pound of candy cost 18, what will pound cost?

6. If pound of candy cost 20, what will pound cost?

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7. What part of a bushel is bushel and 1 bushel?

8. What part of a pound is pound and 1 pound?

9. If pound cost 16, what will 2 pound cost?

10. If bushel cost 30, what will bushel cost?

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19. Sold of my farm. What part of the farm remained?

20. Lost of my marbles. What part of them remained?

21. Lost

marbles left.

of my marbles and then had 12 How many marbles had I at first?

22. After spending of my money I had $ 30 left. How much had I at first?

23. A man, owning interest in a factory, sold of his share for $5000. What was the value of the whole factory at that rate?

24. Two boys buy pound of candy at 40 a pound. If each paid an equal amount, what should each one pay?

25. What will 1 pounds of candy cost at 50¢ a pound?

26. What will 11⁄2 bushels of potatoes cost at 60¢ a bushel?

27. What will 34 quarts of peanuts cost at 8¢ a quart?

28. What will 5 pounds of coffee cost at 30¢ a pound?

29. What will 21 yards of ribbon cost at 20 a yard?

30. What will 4 quarts of berries cost at 8¢ a quart?

Expressing Fractional Values by Diagrams

of 1.

=

and

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76. 1. Show by diagram,
2. Show by diagram,
3. Show by diagram that
4. Show by diagram that
5. Show by diagram that
6. Show by diagram that
7. Show by diagram that
8. Show by diagram that
9. Show by diagram that

10. Show by diagram that 2

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Note. This exercise is only suggestive. Many more exercises may be outlined by the teacher. Free use of diagrams in the solution of problems is very helpful to the pupils.

REDUCTION OF FRACTIONS

77. Reduction is the process of changing the form without changing the value.

Changing Fractions to their Lowest Terms, or
Simplest Forms

78. 1. Reduce to its simplest form.

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When we cannot see at once what large divisor to use, we may use several small divisors, as shown above.

The divisors 2, 2, and 4, used in this exercise, if multiplied together would give us the greatest common divisor, 2 x 2 x 4 = 16.

If we divided by 16 at first, we should get the lowest terms at once, as follows:

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79. An improper fraction is one whose numerator is larger than its denominator. It is, therefore, greater than one whole thing, and should be expressed as a mixed number.

80. Change the following improper fractions to mixed numbers:

1. 5. 21. Ans. (Show this by a diagram.)

=

2. Change to a mixed number.

3. Change to a mixed number.

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Dividing the numerator by the denominator changes an improper fraction to a mixed number.

4. Reduce 15 to a mixed number.

5. Reduce to a mixed number.

6.

Change 125 to a mixed number.

18

7. Change 160 to a mixed number.

23

8. Change to a mixed number.

9. Change 150 to a mixed number.

17

10. Change 250 to a mixed number.

Changing Mixed Numbers to Improper Fractions 81. 1. Change 2 to an improper fraction.

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2. Change 8 to an improper fraction.
818 × 3 plus 1 thirds = 25.

3. Change 12 to an improper fraction.
4. Change 47 to an improper fraction.
5. Change 14 to an improper fraction.
6. Change 14 to an improper fraction.
7. Change 24 to an improper fraction.
8. Change 163 to an improper fraction.

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