38. Written.

Divide by 1 × 1.

7 9

X ÷ X

15 10

If a divisor contains two or more factors, invert them all.

1. Divide of of by of 2 of 10.

2. Divide & of § of 8 of 10 by 5 of 1 of 51⁄2 of 12.

11

3. Divide × 161 × × 49 by 42 × 71 × 5

× 76. 4. Divide 14 × 41 × 1 × 9 by 83 × 51 × 14 × 62.

5. Divide 331 × 5 × 18 × 48 by 71 × 12 × 71 × 28. 6. Divide 6 × 163 × 5 × 62 by 63 × 71 ×41 × 23.

7. If a train runs 19 kilometers in 21 minutes, how far will it run in 1 minute? In 40 minutes? Analyze.

8. At Peach, how many books can I buy for P 63?

9. If a farmer sells 101 cavanes of rice for P 56%, what will

he get for 25 cavanes at the same rate? Analyze.

10. If a boy saves P3 a month, how many months will it take him to save P40?

11. How many steps will it take to walk 1328 meters, each step being of a meter long?

12. What is the price of coal per ton, when 71⁄2 tons cost P96? 13. Mr. Santos paid P297 for 4 hektars of land. What was the price per hektar? At the same rate, what must be paid for 6 hektars? Analyze.

14. How many bottles holding

of a liter each can be filled

from a can containing 67 liters of oil?

15. At the rate of 30 ducks for P24, how many ducks can I buy for P36? Analyze.

11. 24 cans of lard cost P333.

12. 18 kilos of fresh grapes cost P311.

13. 22 kilos of cheese cost P35.

14. At the rate of 5 cans for P2, how many cans of tomatoes can I buy for P4? Analyze.

15. If I pay 14 centavos for 4 oranges, what should I pay for 2 dozen oranges at the same rate?

16. A lady exchanged 5 dozen eggs at P a dozen for rice at Pa ganta. How many gantas did she get? Analyze.

17. If 5 liters of alcohol cost P6, what will 1 liter cost? What will 8 liters cost? Analyze.

40. Written.

COMPLEX FRACTIONS

An indicated division of fractions is sometimes called a

complex fraction.

3호

2 2 10 Ø

3 = ? } = 3 + 8 = 4 + 1 = 4 × = 4.

Change to the simplest form :

7.

10.

13.

8.

11. 25 ×

To find what part the second of two numbers is of the first,

Illustrate each of the next ten exercises with a diagram similar

17. If of a Ha of land is worth P60, what are 11 Ha worth? 18. A man sold a horse for P 80 which was of what it cost him. How much did the horse cost?

19. A man had P 80 and spent P30. What part of his money did he spend? What part had he left?

20. In a school of 90 pupils, 50 are boys and 40 are girls. What part are boys? What part are girls?

45. Written.

REVIEW OF FRACTIONS

1. A farmer exchanged 12 dozen eggs at P a dozen for beans at Pa ganta. How many gantas of beans did he get ? 2. If of a meter of cloth costs P, what will 4 meters cost? 7 meters? Analyze.

3. At the rate of 3 for 5 centavos, how many bananas can I buy for 45 centavos? For P11?

4. A can do a piece of work in 3 days, and B can do it in 5 days. What part of the work can each do in a day? What part of it can they do in a day if they work together?

5. A boy bought oranges at the rate of 4 for 5 centavos, and sold them at the rate of 6 for 10 centavos. How much did he

gain on each orange?

6. A man owning of a sugar mill sold of his share for P 2400. What was the value of the mill? Analyze.

7. If a man pays P300 a year for the rent of a house, how much rent should he pay for 8 months?

8. If it takes 2 meters of cloth to make a coat and 23 meters to make a pair of trousers, how many suits can be made from 623 meters of cloth? Analyze.

9. Pedro spent

of his money and had P3.50 left. How much had he at first? Analyze.

10. A hardware dealer bought 6 axes at P20 each, 12 hammers at P1 each, 10 saws at P13 each, 24 hoes at P1 and 15 rakes at Peach. What was the total cost?

11. If 24 kilos of fish cost P16, what will 9 kilos cost?

each,

12. A man sold a horse for P 105 which was of its cost.

What was the cost? What was the gain? Analyze.

13. If of a kilo of butter costs P1.20, what will 4 kilos cost? Analyze,