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" If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. "
Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ... - Σελίδα 172
των Warren Colburn - 1835 - 245 σελίδες
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A New Introduction to the Mathematicks: Being Essays on Vulgar and Decimal ...

Benjamin Donne - 1758 - 372 σελίδες
...by - which is the very fame as a Frac4 tion whofe Numerator is », and Denominator d. 549. Lemma i. If both the Numerator and Denominator of any Fraction be multiplied by one and the fame Number, we fhall have another Fraction of the fame Value as the firft. For it is evident,...

Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - 1824 - 267 σελίδες
...must be multiplied by the denominators of ths other fractions. In the above example to reduce | and ^ to a common denominator, 7 times 5 are 35 ; 7 is the...numerator and denominator can be divided by the same number,*wivhout a remainder, the value of the fraction will not be altere'd. In fact, if-Uie numerator...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...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...

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 will not be altered ; or if they can both be divided by the same number without a remainder, the fraction...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...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...

Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...certain properties in relation to known and given numbers. if To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by p and let n be any number whatever. Putting...

The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - 1833 - 270 σελίδες
...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. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from Prop. II, that if the numerator...

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...— The demonstration of the preceding rule depends upon the following principle. If both terms of a fraction be multiplied by the same number, the value of the fraction is not altered ; for, by multiplying the numerator, the fraction is multiplied (20), and by multiplying...

Mental and Practical Arithmetic

Charles Davies - 1838 - 288 σελίδες
...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 fraction...

Arithmetic, Designed for Academies and Schools

Charles DAVIES (LL.D.) - 1843 - 12 σελίδες
...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 limes is the fraction...




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