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" Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. "
Crittenden Commercial Arithmetic ... - Page 24
by John Groesbeck - 1872
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The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - Arithmetic - 1822 - 354 pages
...greatest common divisor. For it is an i^uircrsal axiom in fractions, THAT if you multiply or divide both the numerator and denominator of a fraction by the same number, its value is not aliered. Prop. 8. To find the proper quantity, or value, of 'a fraction in the known...
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Struttura urbana della architettura

Cesare Blasi - Architecture - 1824 - 756 pages
...account of the numerator being less than the denominator. The consequence of this is, that to multiply both the numerator and denominator of a fraction by the same number, does not alter its value; and, therefore, to convert a vulgar fraction into a decimal one, we have only to multiply...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...We may also represent the value of any fraction in an infinite variety of .ways. For if we multiply both the numerator and denominator of a fraction by the same number, which may be taken at pleasure, the value of the fraction will not be altered; and for this reason...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...same number, without destroying the proportion. For ratios are fractions, and to multiply or divide the numerator and denominator of a fraction by the same number does not alter its value. Thus from the proportions 6 : 9 : : 10 : 15 we have 4 : f : : 10X2 : 15X2. Apply the...
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A Practical and Theoretical System of Arithmetic...: Also, a Treatise on ...

George Willson - Arithmetic - 1836 - 202 pages
...its lowest terms. Ans. •f3. 4. Reduce |||-| to its lowest terms. Ans, J. It is obvious, that either multiplying or dividing both the numerator and denominator...of a fraction by the same number, does not change its value. Thus, -| multipled continually by 2 becomes f-, -|, fg, ^-|, -||-, -££g, and .so on ;...
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A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - Arithmetic - 1838 - 194 pages
...§^J to its lowest terms. Ans. . 4. Reduce j[^ to its lowest terms. Ans' It is obvious, that either multiplying or dividing both the numerator and denominator...of a fraction by the same number, does not change its value. Thus, .£ multipled continually by 2 becomes \ , A, f%, J-|, |f, 1^, and so on ; in .which...
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Arithmetic. [With] Key, Volume 1

Robert Goodacre - 1839 - 320 pages
...denominators, will be the proper numerator of the reduced fraction. that if you multiply or divide both the numerator and denominator of a fraction by the same number, it will not alter its value. Example Worked. Reduce J of f of | of § of } of -fr to a simple fraction....
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The English Journal of Education, Volumes 8-9

Education - 1854 - 886 pages
...working this t Do it mentally. Show by measure (having divided a line into equal parts), that to multiply the numerator and denominator of a fraction by the same number does not alter their value, and results in the same length or quantity. Explain how that fact facilitates the...
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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...denominator must be based on the principle that, numerators and denominators multiplied or divided by the same number, does not change the value of the fraction. On this principle, we may understand the following rule, which is universal in its application : RULE....
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...denominator of each ofthe given fractions, are multiplied by the same number: ; and multiplying » both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, •}-, and f to a common denominator. 04. Reduce f,...
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