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" If the numerator and denominator of a fraction are both multiplied by the same number, or both divided by' the same number, the value of the fraction is not altered. "
Arithmetic for the use of schools. [3 pt. in 1]. - Σελίδα 7
των Richard Dunkley Beasley - 1867
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Algebra for the Use of Colleges and Schools: With Numerous Examples

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...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...

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...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...

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...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...

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...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...

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...(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...

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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...

A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 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 a fraction...

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James Hamblin Smith - 1870 - 468 σελίδες
...number, the value of the fraction u not altered. IL If the numerator and denominator of a fraction be divided by the same 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...

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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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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...




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