 | John Hind - 1856 - 346 σελίδες
...TRANSFORMATION OF FRACTIONS. 76. If the numerator and denominator of a fraction be 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 ^: and again if this be divided by 5, the... | |
 | Charles Davies - 1856 - 450 σελίδες
...fraction is not changed ; therefore, we have PROPOSITION VI. — If both terms of a fraction be divided by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Divide both terms of -|- by 2 and by 4. 2. Divide both terms of f by 3. 3. Divide... | |
 | Elias Loomis - 1856 - 280 σελίδες
...common denominator. We have seen in Art. 79, that if both numerator and denominator are multiplied ty the same number, the value of the fraction will not be altered. If we multiply both the numerator and denominator of the first fraction by 7, and those of the second... | |
 | Barnard Smith - 1857 - 740 σελίδες
...11, 20, 25, 45. 66. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Thus, if the numerator and denominator of the fraction £ be multiplied by 3, the fraction resulting... | |
 | William Smyth - 1858 - 344 σελίδες
...properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting —... | |
 | Horatio Nelson Robinson - 1859 - 208 σελίδες
...increased as many times as th'cre are units in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction... | |
 | Horatio Nelson Robinson - 1860 - 190 σελίδες
...increased as many timos as there are units in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction... | |
 | James Bates Thomson - 1860 - 440 σελίδες
...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, V— 3 ! now if the numerator and denominator are both multiplied by 2, the fraction... | |
 | Charles Davies - 1861 - 496 σελίδες
...value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply both terms... | |
 | Elias Loomis - 1862 - 312 σελίδες
...- to a common denominator. 5 7 We have seen in Art. 79, that if both numerator and denominator are multiplied by the same number, the value of the fraction will not be altered. If we multiply both the numerator and denominator of the first fraction by 7, and those of the second... | |
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It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered... 
