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" If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. "
Advanced arithmetic. [With] Key by W.M. Mansfield - Page 92
by Thomas W. Piper - 1874
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A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...decimals. Another mode of explaining the above operation may be given. 13. Change Jg to a decimal. If both numerator and denominator of- a Fraction be multiplied by the same . number, the value will not be altered, (§ XLI.) I may therefore multiply both the 7 and the 16 in the above Fraction,...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 pages
...fraction is in its lowest terms, and is called an irreducible fraction . 80. For the lsame reason, if the numerator and denominator of a fraction be multiplied by the same quantity, its g value is not changed For instance, — 22 .о ac and — = -т— . b be , . . time,...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number,...
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The Elements of Algebra

Thomas Grainger Hall - 1840 - 266 pages
...a, as we have just seen ; therefore multiplying both by another quantity m, ia mo x т = nia; \. e. if the numerator and denominator of a fraction be multiplied by the same quantity, its value remains unaltered. -rr 1 intl a .„ , , , COR. Hence also since — , = T : if...
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...will be just equal to the decrease from multiplying the denominator; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number,...
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Exercises in arithmetic for elementary schools, after the method of ...

Thomas Tate (mathematical master.) - 1844 - 184 pages
...•fo are To 6 -£$ are twice -fg, or -fg -fa are 3 times -^5-, or J &c. This exercise proves that if the numerator and denominator of a fraction be multiplied by the same number, the fraction is not altered in value. It will also be seen that as by multiplying the denominator of a fraction...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...will be just equal to the decrease from multiplying the denominator ; hence •we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number,...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1846 - 362 pages
...just equal to the decrease from multiplying the denominator; hence we have, PROPOSITION V. If tlie numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number,...
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The American Equater: Or, Arithmetic Simplified in which Equations are Used ...

Conley Plotts - Arithmetic - 1848 - 276 pages
...divisor are both multiplied by the same quantity, the quotient remains the same, (page 44) ; therefore, if the NUMERATOR and DENOMINATOR of a fraction be multiplied by the SAME NUMBER, the VALUE of the fraction will remain unaltered, since there is no difference in the quantities. On this...
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