 | Benjamin Greenleaf - Arithmetic - 1861 - 338 pages
...only the form of the fraction, while the value expressed remains the same. Therefore, Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Divide the numerator and denominator by any number greater... | |
 | James Stewart Eaton - 1862 - 320 pages
...numerator and denominator of this complex fraction, -, by 7, we 7 1 obtain 1-; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .-. -= £; 5. e. T the reciprocal of ^ is £ ; and, generally, the reciprocal of any... | |
 | Edward Brooks - Arithmetic - 1863 - 350 pages
...taken, the value of the fraction will be 4 times as great. Therefore, etc. PROP. V. — Multiplying Loth numerator and denominator of a fraction by the same number does not change the value of the fraction. DEM. — Since multiplying the numerator multiplies the value of the fraction,... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...numerator and denominator of this complex fraction, -, by 7, we obtain £ ; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .*. - = £; ie the reciprocal of £ is J ; and, generally, the reciprocal of any fraction... | |
 | John Groesbeck - Arithmetic - 1868 - 350 pages
...numerator being the dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of a fraction... | |
 | John Groesbeck - Arithmetic - 1868 - 358 pages
...numerator being the dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of a fraction... | |
 | Stoddard A. Felter - Arithmetic - 1868 - 238 pages
...convenient denomination.* • Twelfths. ILLUSTRATION. FORM. — Multiplying or dividing both terms of a fraction by the same number does not change its value ; hence if the terms of f are multiplied by 4, and the terms of | are multiplied by 3, the resulting... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...numerator or multiplying the denominator divides the fraction. 4. Multiplying or dividing both terms of a fraction by the same number does not change its value. Exercises. 1. If a unit be divided into 4 equal parts, what will be the name or denomination of the... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...lowest terms when its terms are prime to each other. 81. PRINCIPLE. — The division of botii terms of a fraction by the same number does not change its value. 82. RULES. — To reduce a fraction to its lowest terms, 1. Divide both terms of the fraction by any... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 204 pages
...greater terms, it is reduced to Higher Terms. Art. 66. PRINCIPLE. — Tlie multiplication of both terms of a fraction by the same number does not change its value. Art. 67. RULES. — 1. To reduce a fraction to higher terms, Divide the given denominator by the denominator... | |
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Dividing both numerator and denominator of a fraction by the same number does not change its value. 
