This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 Excerpt: ...greatest common divisor. 12. Find the greatest common divisor of 24, 36. Arrange the numbers as indicated. Divide by any prime factor that will divide both numbers. Divide the quotients by any factor that will divide both. Continue till there is no factor common to the quotients. The product of the divisors will be the greatest common divisor. Find the greatest common divisor of: 13. 24, 36, 40 14. 15, 18, 27 15. 8, 16, 48 16. 32, 50, 64 17. 21, 48, 56 18. 18, 45, 90 Divide 30 by 15. 30 = 2 X 3 X 5 15 = 3 X 5.. 1 If we factor both numbers we find that 3 and 1--5 are factors of each number. Cross out or can 30 2 X $ X ¥ 0 eel the like factors in each number and 2 re L5 =-TxT = maiDS 1 1 Cancelation is a method of shortening the work in division by rejecting equal factors. It is based on the principle that dividing both dividend and divisor by the same number does not change the quotient. Divide 12 X 4 by 4 X 27. 4 1% X 4 4 The factor 4 is canceled from both dividend and divisor.--2 Hw = n Tne factor 3 is canceled from 12 in the dividend and from p X f J 9 27 in the divisor. The quotient is $. 9 Divide by cancelation: 1. 21 X 24 by 8 X 7 2. 42 X 35 by 49 X 20 3. 84 X 13 by 12 X 26 4. 48 X 20 by 36 X 10 5. 25 X 12 X 8 6. 60 X 48 X 6 8. 10. 10 X 13 X 16 X 2 30 X 2 X 6 X 12 11. What is the quotient of 88 times the product of 75 and 30, divided by 11 times the product of 25 and 24? 12. If 3 men can do a piece of work in 3 days, working 10 hours a day, how many days will it take 4 men, working 9 hours a day, to do the work? 13. A man worked for a farmer 8 weeks, 6 days a week, and received for his pay 16 sheep at $6 a sheep. Find his wages a day. It is taken for granted at this time that the pupils are familiar with fractions. If the teacher finds that this i...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 Excerpt: ...greatest common divisor. 12. Find the greatest common divisor of 24, 36. Arrange the numbers as indicated. Divide by any prime factor that will divide both numbers. Divide the quotients by any factor that will divide both. Continue till there is no factor common to the quotients. The product of the divisors will be the greatest common divisor. Find the greatest common divisor of: 13. 24, 36, 40 14. 15, 18, 27 15. 8, 16, 48 16. 32, 50, 64 17. 21, 48, 56 18. 18, 45, 90 Divide 30 by 15. 30 = 2 X 3 X 5 15 = 3 X 5.. 1 If we factor both numbers we find that 3 and 1--5 are factors of each number. Cross out or can 30 2 X $ X ¥ 0 eel the like factors in each number and 2 re L5 =-TxT = maiDS 1 1 Cancelation is a method of shortening the work in division by rejecting equal factors. It is based on the principle that dividing both dividend and divisor by the same number does not change the quotient. Divide 12 X 4 by 4 X 27. 4 1% X 4 4 The factor 4 is canceled from both dividend and divisor.--2 Hw = n Tne factor 3 is canceled from 12 in the dividend and from p X f J 9 27 in the divisor. The quotient is $. 9 Divide by cancelation: 1. 21 X 24 by 8 X 7 2. 42 X 35 by 49 X 20 3. 84 X 13 by 12 X 26 4. 48 X 20 by 36 X 10 5. 25 X 12 X 8 6. 60 X 48 X 6 8. 10. 10 X 13 X 16 X 2 30 X 2 X 6 X 12 11. What is the quotient of 88 times the product of 75 and 30, divided by 11 times the product of 25 and 24? 12. If 3 men can do a piece of work in 3 days, working 10 hours a day, how many days will it take 4 men, working 9 hours a day, to do the work? 13. A man worked for a farmer 8 weeks, 6 days a week, and received for his pay 16 sheep at $6 a sheep. Find his wages a day. It is taken for granted at this time that the pupils are familiar with fractions. If the teacher finds that this i...
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