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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. "
A Treatise on Algebra: For the Use of Schools and Colleges - Side 98
av William Smyth - 1858 - 320 sider
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Easy Introduction to Mathematics, Volum 1

Charles Butler - 1814 - 540 sider
...part 3 д/ — to an integer, without altering the value of the given quantity. Now it is evident, that if both terms of a fraction be multiplied by the same quantity, (let that quantity be whatever it may,) the value of the fraction is not altered ; wherefore...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 190 sider
...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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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 380 sider
...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 - 1821 - 160 sider
...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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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - 1824 - 292 sider
...multiplied. 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 - 1825 - 400 sider
...denominator. Arith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be 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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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 404 sider
...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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Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

Warren Colburn - 1826 - 264 sider
...multiplied. 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 - 1827 - 186 sider
...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 - 1828 - 330 sider
...denominator. Arith. Art. XVIII. Reducing Fractions to Lower Ter.ns. XVII. If both numerator and denominator be 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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