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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. "
Elementary Algebra with a Table of Logarithms - Σελίδα 87
των Julius Lederer Neufeld - 1920 - 383 σελίδες
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - 1818 - 574 σελίδες
...numerator ?.nd denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain the same value....

Elements of Arithmetic

Etienne Bézout - 1824 - 219 σελίδες
...fractions | and •£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |.. For, a...

Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - 1826 - 215 σελίδες
...parts 9 times larger ; 18 1 1 or, we have, 7 X 9 times smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both...divided by the same number, the value of the fraction remains unchanged, This is an evident consequence of the combination of the two preceding propositions,...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...denominator. The principle of this rule is, that if the numerator and denominator be both multiplied by the same number, the value of the fraction is not altered. That both terms are multiplied by the same number, by applying the preceding rule, will readily appear...

Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - 1828 - 215 σελίδες
...parts 9 times larger ; 1 1 or, we have, 7 x ; 9 times smaller than 7 x — 18 2 PROPOSITION in. IVhen the Numerator and Denominator of a fraction are both multiplied or divided by the same number, tilt Value of the fraction remains unchanged. This is an evident consequence of the combination of...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 264 σελίδες
...mixed number by a mixed number? 23. 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. How many ways are there to divide a fraction by a whole number ? — What are they? 25. How does...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 264 σελίδες
...mixed number by a mixed number ? 23. 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. How many ways are there to divide a fraction by a whole number ? — What are' they? 25. How...

A Treatise on Arithmetic ...: In which the Principles of the Science are ...

Frederick Augustus Porter Barnard - 1830 - 288 σελίδες
...PRODUCES AN OPPOSITE EFFECT FROM DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ?...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1830 - 264 σελίδες
...mixed number by a mixed number ? 23. 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. How many ways are there to divide a fraction by a whole number? — What are they? 25. How does...

Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1830 - 264 σελίδες
...mixed number by a mixed number ? 23; 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. How many ways are there to divide a fraction by a whole number? — What are they ? 25. How does...




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