| James Bates Thomson - Arithmetic - 1846 - 362 pages
...effect, as multiplying the denominator. (Arts. 112, 113.) 11C. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Arts. 88, 109.) Thus, J5Z=3. Now if the numerator and denominator arc both multiplied... | |
| James Bates Thomson - Arithmetic - 1846 - 402 pages
...effect, as multiplying the denominator. (Arts. 112, 113.) 116. 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. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied... | |
| James Bates Thomson - Arithmetic - 1847 - 426 pages
...contrary to that 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... | |
| James Bates Thomson - Arithmetic - 1847 - 432 pages
...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. 20. Divide i of f by f of -ft-. 23. Divide $ of... | |
| James Bates Thomson - Arithmetic - 1848 - 432 pages
...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|... | |
| James Bates Thomson - Arithmetic - 1848 - 434 pages
...contrary to that of the samq operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of lite fraction will not be altered. (Art. 146.) Thus, Jja=3 ; now if the numerator and denominator are... | |
| Stephen Chase - Algebra - 1849 - 348 pages
...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... | |
| Calvin Tracy - 1851 - 214 pages
...is only £ the value of its eighth part. § Hii If the numerator and denominator of a fraction are both multiplied or both divided by the same number, the value of that fraction is not altered. ILLUSTRATION. ^=4 ; now if we multiply the terms of the fraction by 2... | |
| Barnard Smith - Arithmetic - 1854 - 368 pages
...orf-^3. Ex. XL (1) Divide | separately by 2, 3, 4, 5, 10. (2) Divide ^ separately by. 11, 20, 25, 45. 66. If the numerator and denominator of a fraction be...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... | |
| William Scott - Arithmetic - 1854 - 232 pages
...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... | |
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