 | George G. Carey - 1818 - 602 σελίδες
...denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain the... | |
 | Etienne Bézout - 1824 - 238 σελίδες
...•£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |.. For, a fraction... | |
 | 1832 - 406 σελίδες
...materially depend, is the following : If the numerator and denominator be either both multiplied or both divided by the same number, the value of the fraction is not altered. For example, take £ and multiply its numerator and denominator by 4, which gives -JJ-. In... | |
 | A. Turnbull - 1836 - 368 σελίδες
...natural proceM 297. It has been shown repeatedly that if both terms of a fraction be multiplied or divided by the same number, the value of the fraction is not altered ; therefore, in reducing compound fractions, if any of the numerators and denominators can... | |
 | James Thomson (LL.D.) - 1837 - 296 σελίδες
...properties which belong to all fractions : 1. If the terms of any fraction be both multiftlied, or both divided by the same number, the value of the fraction is not changed. 2. A fraction is multiplied by any number either by multiplying its numerator, or dividing Us denominator,... | |
 | Charles Bathurst (schoolmaster.) - 1842 - 158 σελίδες
...operation is called conceiting. OBSERVATIONS (1). Since, in cancelling, Jioth the numerator and denominator are divided by the same number, the value of the fraction is not altered. (2). All numbers ending in 5 and 0 are divisible by 6. (3). All numbers ending in 0 are divisible... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...fraction by a given number . . 3 13 If both the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered . . . . 4 14 To express an integer as a fraction having a given denominator .. .. .. .. 5 15... | |
 | William Scott - 1844 - 568 σελίδες
...condition. It has been proved (Art. 25) that if the terms of any fraction are both multiplied or both divided by the same number, the value of the fraction is not changed ; and this principle has been applied to the reduction of fractions to the lowest terms (Art. 26).... | |
 | Jacob Abbott - 1847 - 218 σελίδες
...LESSON III. TO REDUCE FRACTIONS TO LOWER TERMS. Explain to the pupil that if both the numerator and denominator of a fraction are divided by the same number, the value of the frac35. 36. 37. 38. 39. 40. 41. 42. 43. « « Expand « Multiply tt (c Expand (( I iV B t I 1 | ((... | |
 | James Bates Thomson - 1847 - 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 6-f. Answer 3. 20. Divide i of f by f of -ft-. 23. Divide... | |
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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. 
