 | 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,... | |
 | Charles Davies - 1861 - 496 σελίδες
...the 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 of -,'T... | |
 | 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... | |
 | Horatio Nelson Robinson - 1863 - 188 σελίδες
...number, the value of the fraction will bemultipliedasmanytimes as there are units in the divisor. •5. If both numerator and denominator be multiplied by...number, the value of the fraction will not be changed. 5-, ^ and ^ to a common denomiJ-, 2\ and | to a common denomi13. Reduce •$ .nator. 14. Reduce 1 nator.... | |
 | Charles Davies - 1863 - 346 σελίδες
...of the fraction is not changed : therefore, we have 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 the numerator and denominator of -f by 7 : this gives, 2. Multiply the numerator... | |
 | Charles Davies - 1865 - 372 σελίδες
...fraction is not changed : therefore, we have PROPOSITION VI. — If both terms of a fraction be dinded by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Divide both terms of the fraction TBS by 2 : this gives 8 Ta 9-2 4 Anc - j — 2 — j... | |
 | Charles Davies - 1865 - 468 σελίδες
...fraction is not changed ; therefore, PROPOSITION VI. — If both terms of a fraction be divided by the the same number, the value of the fraction will not be changed. 143. What is proved in Proposition VI— 144. What is proved in Proposition VI.? Examples. 1. Divide... | |
 | Stoddard A. Felter - 1862 - 312 σελίδες
...The Numerator of the fraction corresponds to the dividend, and the denominator to the divisor. (6.) Principles. — I. If both numerator and denominator...changed, because The number of parts is increased in (he same ratio as their size it diminished. ILLUSTRATION. MODEL OPERATION. (6.) tyt* Numerator. Dividend.... | |
 | Stoddard A. Felter - 1866 - 338 σελίδες
...for the value of the fraction as before. Frinc. — II. If both numerator and denominator be divided by the same number, the value of the fraction will not be changed, because * The number of parts is diminished in the same ratio as their size is increased. ILLUSTRATION. 4 -*• 2 = Я Т •!- 2 =... | |
 | Stoddard A. Felter - 1866 - 326 σελίδες
...for the value of the fraction as before. Frinc.—II. If both numerator and denominator be divided by the same number, the value of the fraction will not be changed, because The number of parts is diminished in the same ratio as their siu it increased. ILLUSTRATION. 4. •*• 2 = 3 8 -r- 2 = T... | |
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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... 
