 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.=...  Elementary Practical Mathematics - Page 45by Frank Castle - 1899 - 404 pagesFull view - About this book
 | George G. Carey - Arithmetic - 1818 - 602 pages
...?.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 - Mathematics - 1824 - 238 pages
...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 |.. For,... | |
 | Ferdinand Rudolph Hassler - Arithmetic - 1826 - 224 pages
...smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both multiplied or divided by the same number, the value of the fraction remains unchanged, This is an evident consequence of the combination of the two preceding propositions,... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...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 - Arithmetic - 1832 - 294 pages
...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... | |
 | A. Turnbull - Arithmetic - 1836 - 368 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...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... | |
 | Charles Bathurst (schoolmaster.) - 1842 - 158 pages
...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... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...divide a 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 .. .. .. ..... | |
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