 | Isaac Todhunter - Algebra - 1858 - 530 pages
...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, and is divided... | |
 | Chambers W. and R., ltd - 1859 - 344 pages
...rules are founded on the principle formerly stated, that when both the terms of a fraction are divided by the same number, the value of the fraction is not altered. The division of the terms of a fraction by any MEASURE is called cancellin9. In applying the Rule,... | |
 | Thomas Kimber - Mathematics - 1865 - 302 pages
...- *)> 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 -0625 of £21... | |
 | Isaac Todhunter - Algebra - 1866 - 618 pages
...and 134.) Thus - = — . And so also if the numerator and denominator of a о be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both numerator... | |
 | Charles Elsee - Arithmetic - 1866 - 300 pages
...importance : — If the numerator and denominator of a fraction l>e both multiplied or both divided by the same number, the value of the fraction is not altered. Thus Y| is equal to -, or ^, or * or to — , — , &c. The truth of the principle may be seen by considering... | |
 | Richard Dunkley Beasley - 1867 - 226 pages
...$. Conversely, since j, = |, we see that if the numerator and denominator of a fraction are divided by the same number, the value of the fraction is not altered. 15. To reduce a fraction to its lowest terms, that is, to an equivalent fraction whose numerator and... | |
 | Richard Wormell - Arithmetic - 1868 - 170 pages
...be modified as follows : — If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered. EXAMPLE.— 3=ixj=yV In the figure AC=J of AB and AF = y", AB. It is evident that AC = AF. 138. Every... | |
 | Richard Wormell - 1868 - 226 pages
...be modified as follows : — If the numerator and denominator of a fraction be multip1ied or divided by the same number, the value of the fraction is not altered. EXAMPLE.— f=|xs=A- In the figure AC=| of AB and AF = A AB. It is evident that AC = AF. 138. Every... | |
 | George Augustus Walton, Electa N. L. Walton - Arithmetic - 1869 - 188 pages
...altered iu value. V. Diagram 7 shows that if we multiply the numerator and denominator of a fraction each by the same number, the value of the fraction is not altered. Why ? Diagram 8. 2 iiii Fraction not 6 -;- 2 ~ 3 1 ~ IT i altered in value. VI. Diagram 8 shows that... | |
 | James Hamblin Smith - 1869 - 412 pages
...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 value of a fraction... | |
| |
How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered ? 24. 
