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" 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... "
The Grammar-school Arithmetic: Being Book Second of the Analysis of Written ... - Page 95
by Stoddard A. Felter - 1868 - 340 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
...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=£ağ, &c. And on these principles the greater part of the following rules...
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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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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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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - Arithmetic - 1824 - 292 pages
...NB It appears from the above reasoning, that if Both the numerator and denominator of any fraction be multiplied by the same number, the value of the fraction will remain the same. It will follow also from this, that if both numerator and denominator can be divided...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...multiply a fraction, ) ' ^ the denominator. Arith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be multiplied by...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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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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Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - Mental arithmetic - 1826 - 176 pages
...14. Reduce f f. to its lowest terms. Nule.. 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 wUl not be altered ; or if they can both be divided by the same number without a. remainder, the fraction...
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Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

Warren Colburn - Arithmetic - 1826 - 264 pages
...NB It appears from the above reasoning, that if both the numerator and denominator of any fraction be multiplied by the same number, the value of the fraction will remain the same. It will follow also from this, that if both numerator and denominator can be divided...
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Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - Arithmetic - 1827 - 186 pages
...terms. 14. Reduce ff to its lowest terms. 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
...5. Add together f and f. These must be reduced to a common denominator. It has been shown above that if both numerator and denominator be •Multiplied...same number, the value of the fraction will not be altered. If both the numerator and denominator of the first fraction be multiplied by 7, and those...
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