 | 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 the second... | |
 | Horatio Nelson Robinson - Arithmetic - 1863 - 188 pages
...value of the fraction will 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... | |
 | Charles Davies - Arithmetic - 1863 - 346 pages
...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... | |
 | Stoddard A. Felter - Arithmetic - 1866 - 338 pages
...fraction corresponds to the 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.... | |
 | Stoddard A. Felter - Arithmetic - 1862 - 312 pages
...fraction corresponds to the 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... | |
 | Stoddard A. Felter - Arithmetic - 1866 - 326 pages
...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.... | |
 | James Bates Thomson - 1867 - 204 pages
...Thus, J = 2, f = lf. JVbte 25. — If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. Thus, f = 3; now if the numerator and denominator are both multiplied by 2, the fraction becomes -i^-,... | |
 | John William Colenso (bp. of Natal.) - 1867 - 244 pages
...7, and 11. 113. If the numerator and denominator of a fraction be loth multiplied, or both divided by the same number, the value of the fraction will not be altered. Ex. 1. | =M=15=|2=&c. Ex. 2. || = « = if =£=• =|. For it is the same thing whether we divide the... | |
 | Stoddard A. Felter - Arithmetic - 1868 - 360 pages
...fraction corresponds to the dividend, and the denominator to the divisor. (i.) 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 the same ratio as their size is diminished. ILLUSTRATION.... | |
| |
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... 
