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" ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 314
των James Bates Thomson - 1847 - 422 σελίδες
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Practical and Mental Arithmetic: Designed Principally to Accompany Daboll's ...

Roswell Chamberlain Smith - 1826 - 114 σελίδες
...reduction? Ans. It'fs not. How is the value not altered? Ana. It has 1 een shown heretofore that multiplying the numerator and denominator by the same number does not alter the value, and in this rule they are so multiplied. Give an example of £ and J reduced to a common denominator?...

Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - 1827 - 216 σελίδες
...reduction ? A. Itisnot. How is the value not altered ? A. It has been shown heretofore, that multiplying the numerator and denominator by the same number does not alter the value, and in this rule they are so multiplied. Give an example of 4 and J reduced to a common denominator...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...being n third of 8, and the other only a sixth of it. 10. The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number. Thus, k is the same as £g. 11. Fractions having a common denominator, are added or subtracted by adding...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...being a third of 7, and the other only a sixth of it. 10. The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number. Thus, £ is the same as }£ . 11. Fractions having a common denominator, are added or subtracted by...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 362 σελίδες
...which equals 4x2. 314. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio ; for, multiplying...number, does not alter the value of the fraction. (Art. 116.) Thus the ratio of 12:4 is 3 ; The " 12x2 : 4x2 is 3 ; And « 12+2 : 4n-2 is 3. 315. If the two...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 402 σελίδες
...which equals 4x2. 314. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio : for, multiplying...number, does not alter the value of the fraction. (Art. 116.) 4 is 3; 4x2 is 3; Thus, the ratio of 12 The " 12x2 And " 12 H- 2 3 1 5. If the two numbers compared...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 354 σελίδες
...which equals 4x2. 314. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio : for, multiplying...number, does not alter the value of the fraction. (Art. 116.) Thus, the ratio of 12 : 4 is 3 ; The " 12x2: 4x2 is 3; And " 12-^2 : 4-h2 is 3. 3 1 5. If the...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 434 σελίδες
...consequent. (Art. 189. Obs.) To multiply or divide both the antecedent and consequent of a couplet by the same number ,- does not alter the ratio : for, multiplying...Thus, the ratio of 12:4 is 3 ; The " 12X2 :4X2 is 3; And " 12,7-2 : 4^2 is 3. 4-8 5 « If the two numbers compared are equal, the ratio is a unit or...

Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 434 σελίδες
...(Art. 189. Obs.) 484. To multiply or divide both the antecedent and consequent of a couplet by the same number, does not alter the ratio : for, multiplying...the numerator and denominator by the same number, docs not alter the value of the fraction. (Art. 191.) Thus, the ratio of 12:4 is 3 ; The " 12X2: 4X2...

Practical arithmetic for the use of adults

P. Fletcher - 1848 - 138 σελίδες
...finding a common denominator. We know that to multiply the numerator and denominator of a fraction by the same number, does not alter the value of the fraction ; and knowing this, our work is simple. We have but to multiply the whole of the denominators together...




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