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" If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. "
School Arithmetic: Primary Book - Σελίδα 216
των John Marvin Colaw, John Kelley Ellwood - 1900 - 271 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Arithmetic, theoretical and practical. [With] Key

Chambers W. and R., ltd - 1859
...The 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...

Arithmetic for the Use of Schools

George Heppel - 1864
...divide a fraction : Either multiply the denominator, or divide the numerator. Consequently, if both the numerator and denominator of a fraction are multiplied...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,...

Practical Arithmetic ...

John Purdue Bidlake - 1866 - 212 σελίδες
...therefore, evidently half the value of the former. OBS. — Prom this it will be evident that, if both the numerator and denominator of a fraction are multiplied...divided by the same number, the value of the fraction is unaltered. For by multiplying both numerator and denominator by the same number, the number of the...

Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1866 - 553 σελίδες
...(Arts. 133 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...

Arithmetic

Charles Elsee - 1866 - 275 σελίδες
...of great 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...

Arithmetic simplified, a suppl. to Elements of physics

Neil Arnott - 1867
...quotient, namely one (1). § 33. (b) If both terms (numerator and denominator) of a fraction are either multiplied or divided by the same number, the value of the fraction is not changed. Thus f. so multiplied by 2 becomes |- (four sixths), equal to •§-—if multiplied by 4 it becomes...

Arithmetic for the use of schools. [3 pt. in 1].

Richard Dunkley Beasley - 1867
...therefore } = $. 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...

The Elements of Written Arithmetic: Combining Analysis and Synthesis ...

James Stewart Eaton - 1868 - 188 σελίδες
...of the parts (denominators) is increased or diminished. 5. If the numerator and denominator are both multiplied or divided by the same number the value of the fraction is not g2 X 2 _for2-^2_j. Hence, the following general law in regard to Fractions may be stated, That any...

Murby's Excelsior Arithmetic, for All Schools and Colleges, Μέρος 1

Richard Wormell - 1868
...applied to a fraction, may 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....

Arithmetic, for schools and colleges. (With key).

Richard Wormell - 1868
...fraction, may 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....




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