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" If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged. "
Recapitulatory examples in arithmetic - Σελίδα 106
των Alfred Hiley - 1882 - 149 σελίδες
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Arithmetic simplified, a suppl. to Elements of physics

Neil Arnott - 1867 - 84 σελίδες
...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...

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

Richard Wormell - 1868 - 170 σελίδες
...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. 138. Every...

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

Richard Wormell - 1868 - 226 σελίδες
...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. Every...

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

James Stewart Eaton - 1868 - 200 σελίδες
...(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...

A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 σελίδες
...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 is not altered. 126. To make the important Theorem established in the preceding Article...

An Intellectual Arithmetic: With an Introduction to Written Arithmetic

George Augustus Walton, Electa N. L. Walton - 1869 - 188 σελίδες
...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...

Elementary Algebra

James Hamblin Smith - 1870 - 478 σελίδες
...denominator of a fraction be multiplied br the same number, the value of the fraction u not altered. IL If the numerator and denominator of a fraction be...number, the value of the fraction is not altered, 149. To make the important Theorem established in the preceding Article more clear, we shall give the...

Artithmetic theoretical and practical

William Harding Girdlestone - 1870 - 482 σελίδες
...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 the denominator...

The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt ...

Adolf Sonnenschein - 1870 - 276 σελίδες
...denominator, the value of the fraction is multiplied. Hence : By dividing both numerator and denominator by the same number, the value of the fraction is not altered. Thus : 42=42-b«=7' ^e have, in fact, one-sixth of the original number of pieces, but each piece is...

Elementary Algebra

James Hamblin Smith - 1870 - 452 σελίδες
...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 the...




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