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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...
Intellectual Arithmetic, Upon the Inductive Method of Instruction - Σελίδα 117
των Warren Colburn - 1836 - 172 σελίδες
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...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 are founded....

An Elementary Treatise on Arithmetic

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...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, so...

An Introduction to the Elements of Algebra: Designed for the Use of Those ...

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...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, so...

An Introduction to Algebra Upon the Inductive Method of Instruction

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...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 denominator...

An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

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...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, so...

Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

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...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...without a. remainder, the fraction will not be altered. * If this article should be found too difficult for the pupil, he may omit it till after the next section....

Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - 1827 - 172 σελίδες
...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...without a remainder, the fraction will not be altered. * If this article should be found too difficult for the pupil, he may omit it till after the next section....

An Introduction to Algebra Upon the Inductive Method of Instruction

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...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 denominator...

An Introduction to Algebra Upon the Inductive Method of Instruction

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...common denominator. It has been shown above that if both numerator and denominator be •nultiplied by the 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 of the second...

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...the original fraction. Hence, ^8. If the numerator and denominator be BOTH multiplied or BOTH divided by the same number, the VALUE of the fraction Will NOT BE ALTERED. THIS is an evident consequence of the combination of the two foregoing articles, in which the multiplication...