 | George G. Carey - 1818 - 602 σελίδες
...numerator ?.nd 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... | |
 | Etienne Bézout - 1824 - 238 σελίδες
...fractions | and •£ 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 |..... | |
 | Frederick Augustus Porter Barnard - 1830 - 308 σελίδες
...PRODUCES AN OPPOSITE EFFECT FROM DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ?... | |
 | Samuel Read Hall - 1832 - 294 σελίδες
...to 1 tenth, for a twentieth is one half of one tenth. Hence if both the numerator and denominator be multiplied, or divided by the same number, the value of the fraction mill not be altered. Fractions of the same value may therefore be expressed in an infinite number of... | |
 | 1836 - 488 σελίδες
...effect upon the value, as dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each... | |
 | A. Turnbull - 1836 - 368 σελίδες
...paragraph 181, by the 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... | |
 | Augustus De Morgan - 1837 - 308 σελίδες
...\/ X \ To prove this, observe that (page 105), Similarly, In the expression •^/xb, if a and b be both multiplied or divided by the same number, the value of the expression is not altered. That is, For it has been shewn that because Similarly, To extract a root... | |
 | John Hind - 1840 - 252 σελίδες
...simple fractions. TRANSFORMATION OF FRACTIONS. 77. If the numerator and denominator of a fraction be both multiplied, or divided by the same number, the value of the fraction will not be altered. For, if the fraction f be multiplied by 5, the product is j: and again if this... | |
 | W. F. Walker - 1841 - 246 σελίδες
...Multiply both terms of £f by 2, Ans. .ftV, § 53. 1. PROPOSITION VI. Both terms of a fraction being divided by the same number, the value of the fraction remains unchanged. 2. Illustration. 6-rB 2 Here we divide both terms of the fraction £ by 3, and we obtain the result,... | |
 | Charles Bathurst (schoolmaster.) - 1842 - 158 σελίδες
...thus §, g, -JJ, &c. are all equal to 1. When lioth the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction is not altered ; thus, J is the same as |-, J, £, &c. where both numerator and denominator are multiplied... | |
| |
If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.=... 
