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" If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. "
New School Algebra - Σελίδα 123
των G. A. Wentworth - 1898
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 426 σελίδες
...of the same operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 146.) Thus, Jj2=3 ; now if the numerator and denominator are both multiplied...

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

James Bates Thomson - 1848 - 434 σελίδες
...contraction is evident from the principle, that if the numerator and denominator of a fraction are both divided by the same number, the value of the fraction is not altered. (Arts. 148, 191.) 19. Divide 18f by 6-f. Answer 3. QCEST.— 232. How divide fractions by cancelation...

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

James Bates Thomson - 1848 - 432 σελίδες
...contraction is evident from the principle, that if the numerator and denominator of a fraction are both divided by the same number, the value of the fraction is not altered. (Arts. 148,191.) 19. Divide 18f by 6f. Answer 3. 20. Divide i of f by -f of -fy. 23. Divide f of 7|...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 σελίδες
...equally divided or multiplied. And, hence, 8. If the numerator and denominator be eithtr BOTH multiplitd or BOTH divided by the same number, the value of the fraction will not be affected. REDUCTION. § 114. Let it be required to reduce a: to a fraction, whose denominator...

Elements of arithmetic for the use of schools

William Scott - 1854 - 232 σελίδες
...this reduction can be made by dividing both terms by their greatest common measure. The terms being divided by the same number, the value of the fraction is not changed (Art. 70. c.) ; and the terms are rendered prime to each other. (Art. 62.) A fraction, the...

Arithmetic for Schools

Barnard Smith - 1854 - 368 σελίδες
...separately by. 11, 20, 25, 45. 66. If the numerator and denominator of a fraction be both multiplied Or both divided by the same number, the value of the fraction will not be altered. Thus, if the numerator and denominator of the fraction f be multiplied by 3, the...

The British Controversialist and Impartial Inquirer, Τόμος 5

1854 - 500 σελίδες
...therefore multiply the denominator by 0, and obtain as the result ^J ; but if each of these numbers he divided by the same number, the value of the fraction is not altered. Ыепсе we divide both by 3, and obtain £ as an answer. But we want J of £1, or 20s., or 240d....

The science of arithmetic, by J. Cornwell and J.G. Fitch

James Cornwell - 1855 - 380 σελίδες
...Ji-r-12; 4+8, ^-4-4 6- ^-r-14; fi-r-20; g -r- 10. 194. If the numerator and denominator be both multiplied or both divided by the same number, the value of the fraction remains unaltered* Demonstrative Example I. — The fraction ^ hag a certain meaning. But by (189)...

The Popular Educator, Τόμος 2

1856 - 418 σελίδες
...Vulgar Fractions. 10. PRINCIPLE 1. — If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered, that is, the valu« of the fraction remains the ваше ai before ; and if the numerator and denominator...

The elements of algebra

Archibald Montgomerie - 1857 - 116 σελίδες
...CHAPTER III. FRACTIONS. FUNDAMENTAL PUINCIPLES. 26. If the numerator and denominator of a fraction bo both multiplied by the same number, or both divided...the same number, the value of the fraction is not changed. 27. A fraction is multiplied by any quantity, cither by multiplying the numerator or dividing...




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