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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. "
Elements of Algebra: Embracing ... the Theory and Application of Logarithms ... - Page 227
by Davis Wasgatt Clark - 1844 - 346 pages
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...Whence, it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided, by the same number, the value of the fraction will not be altered : thus, |=•=ja=£a», &c. And on these principles the greater part of the following rules...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...?.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...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 pages
...it results, that, ifbsth the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,...
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An Elementary Treatise on Arithmetic

Silvestre François Lacroix - Arithmetic - 1821 - 160 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...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 |.....
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...The 3d root of a* is aT. * i _* The 5th root of a* b* is atT If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as to raising it to a power, and then extracting...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,...
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Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - Arithmetic - 1826 - 224 pages
...smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both multiplied or 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,...
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Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - Arithmetic - 1827 - 186 pages
...Note. It will be seen by the above section that if both the numerator and denominator be 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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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...a5. The 3d root of a* is a*. The 5th root of a^ b* is a** b*°. If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the...
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