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" If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. "
Treatise on Algebra, for the Use of Schools and Colleges - Page 98
by William Smyth - 1855 - 336 pages
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Intellectual Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1836 - 190 pages
...lowest terms. Note. It will be seen by the above section, that, if both the numerator and denominator he multiplied by the same number, the value of the fraction •will not be altered; or, if they can both be divided by the same number without a remainder, the fraction will...
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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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...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, how many times is the...
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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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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...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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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...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 Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1841 - 288 pages
...denominator. Atith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator he multiplied by the same number, the value of the fraction will not be altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying the...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...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
...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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