A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα viii
... least common denominator To find the least common multiple of two or more numbers To reduce fractions to the least common denominator Addition of fractions Subtraction of fractions Continued fractions • • PAGE 40 41 43 66 45 46 47 48 ...
... least common denominator To find the least common multiple of two or more numbers To reduce fractions to the least common denominator Addition of fractions Subtraction of fractions Continued fractions • • PAGE 40 41 43 66 45 46 47 48 ...
Σελίδα 42
... common denominator , are , therefore , 63 , 6 and 60 84 , 84 By writing these results in a different manner , it ... least denominator by the quotient . EXAMPLES . 1. Reduce and to a common denominator . 6 Dividing 14 by 7 , the quotient ...
... common denominator , are , therefore , 63 , 6 and 60 84 , 84 By writing these results in a different manner , it ... least denominator by the quotient . EXAMPLES . 1. Reduce and to a common denominator . 6 Dividing 14 by 7 , the quotient ...
Σελίδα 43
... common denominator . 3 Ans . and 17 . 18 96. 96 To reduce fractions of different denominators to the least common denominator . ( 37. ) To reduce fractions to their least common denomina- tor , it is necessary to find the least number ...
... common denominator . 3 Ans . and 17 . 18 96. 96 To reduce fractions of different denominators to the least common denominator . ( 37. ) To reduce fractions to their least common denomina- tor , it is necessary to find the least number ...
Σελίδα 44
Silas Totten. Let it be required to find the least common multiple of 12 , 15 , 7 , 18 , 3 , 5 and 35 . 7 12 , 15 , 7 , 18 , 3 , 5 , 35 , 512 , 15 , 1 , 18 , 3 , 5 , 5 , 3 12 , 3 , 1 , 18 , 3 , 1 , 1 , 34 , 1 , 1 , 6 , 3 , 1 , 1 , 2 4 ...
Silas Totten. Let it be required to find the least common multiple of 12 , 15 , 7 , 18 , 3 , 5 and 35 . 7 12 , 15 , 7 , 18 , 3 , 5 , 35 , 512 , 15 , 1 , 18 , 3 , 5 , 5 , 3 12 , 3 , 1 , 18 , 3 , 1 , 1 , 34 , 1 , 1 , 6 , 3 , 1 , 1 , 2 4 ...
Σελίδα 45
... - nator . 7 12 , 7 , 16 , 21 , 2 2 , 1 , 16 ,. 3 , 1 , 1 , 8 , 3 , 7 × 2 × 8 × 3 = 336 , least common denominator . Denom'rs . Quot's . Num'rs . New num'rs . 336 5 REDUCTION OF FRACTIONS . 45 To reduce fractions to the least common ...
... - nator . 7 12 , 7 , 16 , 21 , 2 2 , 1 , 16 ,. 3 , 1 , 1 , 8 , 3 , 7 × 2 × 8 × 3 = 336 , least common denominator . Denom'rs . Quot's . Num'rs . New num'rs . 336 5 REDUCTION OF FRACTIONS . 45 To reduce fractions to the least common ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x a²x² added additive terms algebraic quantities Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained cube root dividend division dollars equa evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letter logarithms lowest terms merator mixed quantity monomial multiplicand nth root number of terms obtain polynomial Prod proportion quan quotient ratio remainder required to find result RULE simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 184 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Σελίδα 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Σελίδα 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.