 | Charles Davies - Arithmetic - 1863 - 346 pages
...the value 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... | |
 | 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.... | |
 | Thomas Kimber - Mathematics - 1865 - 302 pages
...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.... | |
 | 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.... | |
 | Isaac Todhunter - Algebra - 1866 - 580 pages
...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,... | |
 | Richard Nelson - Arithmetic - 1867 - 304 pages
...expresses the ratio between the two terms. ^=3 : 12. . PRINCIPLES OF FRACTIONS. 197. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unaltered. Let the 1 and 4 of the fraction J be multiplied by 2, and we have |-, a fraction of the... | |
 | James Hamblin Smith - 1869 - 412 pages
...subdivisions ; a- ac COB. We draw from this proof two inferences : I. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. II. If the numerator and denominator of a fraction be divided by the same number, the... | |
 | James Hamblin Smith - Algebra - 1870 - 452 pages
...ac '' l~bc' COB. We draw from this proof two inferences : I. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. II. If the numerator and denominator of a fraction be divided by the same number, the... | |
 | William Harding Girdlestone - 1870 - 482 pages
...examples, the following rules, and discuss them. (i) If both the numerator and the denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. (ii.) To multiply a fraction by a whole number, either multiply the numerator or divide... | |
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It appears from the above reasoning, that if both the numerator and denominator of any fraction be multiplied by the same number, the value of the fraction will remain the same. 
