 | Charles Davies - Arithmetic - 1861 - 496 pages
...times as we diminish the value of each part; henco the value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be...changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply both terms of -,'T by 5, by 8, by 9, and 11. 3. Multiply both terms... | |
 | Elias Loomis - Algebra - 1862 - 312 pages
...- 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... | |
 | Charles Davies - Arithmetic - 1863 - 346 pages
...By multiplying the numerator by 4, we increase the number of fractional units taken, 4 times; that is, we increase the number just as many times as we...fraction will not be changed. Examples. , 1. Multiply the numerator and denominator of -f by 7 : this gives, 2. Multiply the numerator and denominator of... | |
 | Horatio Nelson Robinson - Arithmetic - 1863 - 188 pages
...bemultipliedasmanytimes as there are units in the divisor. •5. If both numerator and denominator be multiplied by the same 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 - Arithmetic - 1865 - 372 pages
...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 .fl/AA. 101.... | |
 | Thomas Kimber - Mathematics - 1865 - 302 pages
...x Ц of ф ? 7* : ~ A + 4 (4 - *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 4. Divide -0022498 by 2-67, and reduce — - to a decimal. 2s x 5s Find the value of... | |
 | Stoddard A. Felter - Arithmetic - 1862 - 312 pages
...dividend, and the denominator to the divisor. (6.) Principles. — I. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed, because The number of parts is increased in (he same ratio as their size it diminished. ILLUSTRATION.... | |
 | Charles Davies - Arithmetic - 1866 - 356 pages
...therefore, we have 119. What is Proposition V.? 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 the fraction T\ by 2 . this gives 8 -L. •> , I 16 -H 2 — J -^HS2. Divide both... | |
 | Stoddard A. Felter - Arithmetic - 1866 - 338 pages
...dividend, and the denominator to the divisor. (6.) Principles. — 1. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed, because The number of parts is increased, in the same ratio as their size is diminished. ILLUSTRATION.... | |
 | Isaac Todhunter - Algebra - 1866 - 580 pages
...multiplied and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,... | |
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If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. 
