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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. "
New University Arithmetic: Embracing the Science of Numbers, and Their ... - Page 116
by Charles Davies - 1856 - 437 pages
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...as dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator (21), and multiplied by dividing its...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...10. Divide i| by i. 8. 7/. t^e numerator and denominator of any fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Of this principle no explanation is necessary. The value of the fraction being the quotient...
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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...Hence, if the numerator of a fraction and its denominator be each multiplied by the same number, or divided by the same number, the value of the fraction will not be altered. I в - 3 - 4 2 - 2 - 27 - i0з tr,, 57 — T¥ — ï- s — T s — ÏS — lïï' oí'c>...
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The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - Arithmetic - 1840 - 252 pages
...TRANSFORMATION OF FRACTIONS. 77. If the numerator and denominator of a fraction be both multiplied, or divided by the same number, the value of the fraction will not be altered. For, if the fraction f be multiplied by 5, the product is j: and again if this be divided...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard - 1841 - 356 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler....
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler....
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler....
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...increase from dividing the denominator : hence we have, PROPOSITION VI. If the numerator and denominator of a fraction be divided by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be divided by a number, how many times will the...
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Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - Arithmetic - 1844 - 356 pages
...increase from dividing the denominator: hence we have, PROPOSITION VI. If the numerator and denominator of a fraction be divided by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be divided by a number, how many times will the...
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