ADDITION AND SUBTRACTION

429. Oral Questions.

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I. If you have 8 quarters in one pocket and 9 ters in another pocket, how much money have you in

3. How many eighths are 16+24?

4. How much more is than ??

5. How much more is 16 than 63?

6. How many fourths are equal to +1?

1. A man rode 1 000 miles in 3 days; the first day he rode 356 miles, the second day 290 miles, and how far on the third day?

2. A ship sailed 131 miles per day for 7 days, 129 miles per day for 6 days, and in 5 days more completed her voyage of 2 297 miles; how far did she sail in the last 5 days?

From a cistern containing 1 763 gallons of water, 47 gallons a day are used for watering the stock, and 59 gallons for all other purposes; how many gallons should be in the cistern at the end of 12 days?

4. A farmer's corn crop is 37 bushels to the acre on 43 acres; he needs for the year 72 bushels for meal, and 3 bushels per day for feeding stock; how many bushels can he afford to sell?

5. A train runs from A to B, 360 miles, in 17 hours, making 30 stops, averaging 4 minutes each; find the train's average rate of speed while running.

6. From three fields a farmer harvested 1 813 bushels of grain; he raised 27 bushels of corn per acre on 19 acres, 19 bushels of wheat per acre on 41 acres, and oats on the other field; how many bushels of oats did he gather?

7. In three bins there are 2783 bushels, 500 bushels, and 652ğ bushels of wheat; how many bushels in all?

8. A man had $134, and spent $593; how much money did he then have?

13. 15-47 14. 203 – 41 15. 175-83 16. 41-211⁄2

II. 18-31 12.

FACTORS

434. Oral Questions.

1. What two numbers multiplied together make 6?

2. What two numbers multiplied together make 9? make 15? make 25? 35? 21?

435. The numbers that make a product are called its Factors.

436. Written Exercises.

1. Cancel the factors common to the dividend and divisor in 25.

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25 5×5 5

30 5×6 6

2. When cancel the factors common to the numerator and denominator in 75%, you reduce the frac

tion to its lowest terms.

437. To reduce a fraction to its lowest terms: Cancel the factors common to the terms of the fraction.

1. What part of a foot equals 1 inch? 2 inches? 3 inches? 4 inches? 6 inches? 11 inches?

2. What part of a foot equals 5 inches?

3. 5 inches 1 inch would be what part of a foot?

4. What part of a foot equals: 1 inch + 5 inches? 1

inch? 4 inches? 4 inches - 1 inch? 3 inches+4 inches?

5. What part of a foot equals: ft.+3 in.? ft.+5 in.?

foot+1 inch?

6. What part of a foot equals: ft. - } ft.? ft.+

ft.? ft.+ ft.?

7. What measure is equal to ft. +1 ft.+ 1 ft. ?

8. What number equals 1+1+1 ?

9. What fraction equals +?

The least denominator common to 4, 3, is 12; 3×4=12.

The least denominator common to,, and, is 12 ́ . . . not 24, because, if 4 is a factor of a number, 2 also is a factor of the number. 12 may be divided by 2, by 3, by 4, and by 6.

439. Written Exercises.

Add 1, 1, and 3.

} + 1 = 3; 3 + }= how many twelfths?

If the result is an improper fraction, it should be reduced to a whole or mixed number.