 | William Smyth - Algebra - 1858 - 344 pages
...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 pages
...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 will not be changed. 48. 1. James has |- of a dollar, John f of a dollar, and George | of a dollar ; how many fifths... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...same 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,... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 190 pages
...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 will not be changed. 48. 1. James has -| of a dollar, John | of a dollar, and George | of a dollar ; how many fifths... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...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 - Algebra - 1862 - 312 pages
...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
...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... | |
 | 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... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...equating values of x in (1) and (4), o" = a". Hence, 1. — If both terms of a fractional exponent be multiplied or divided by the same number, the value of the expression will not b« altered. From (333) we have J = Va-, IM* and aar = "!^amr . Hence, 2. — If... | |
 | George Heppel - 1864 - 234 pages
...denominator, or divide the numerator. Consequently, if both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction will be unaltered. Thus— f_!,> _5O 25 _275 5!, 10 ~BO~ 40 "" 440 88" It is evidently convenient, however,... | |
| |
If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
