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" 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. "
Arithmetic: Being a Sequel to First Lessons in Arithmetic - Σελίδα 186
των Warren Colburn - 1824 - 267 σελίδες
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A New Introduction to the Mathematicks: Being Essays on Vulgar and Decimal ...

Benjamin Donne - 1758 - 428 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,...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 400 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...

Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

Warren Colburn - 1826 - 264 σελίδες
...must be multiplied by the denominators of the other fractions. In the above example to reduce f and T to a common denominator, 7 times 5 are 35 ; 7 is the...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator...

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

Warren Colburn - 1827 - 186 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...

Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

Warren Colburn - 1828 - 288 σελίδες
...numerators must be multiplied by the denominators of the other fraction^. In the above example to reduce f and ^ to a common denominator, 7 times 5 are 35 ;...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 330 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...

Arithmetic Upon the Inductive Method of Instruction ...: Stereotyped at the ...

Warren Colburn - 1829 - 258 σελίδες
...must be multiplied by the denominators of the other fractions. In the above example to reduce | and 4 to a common denominator, 7 times 5 are 35 ; 7 is the...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact. if the numerator...

Elements of Algebra

William Smyth - 1830 - 278 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...

Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

Warren Colburn - 1831 - 262 σελίδες
...above example to reduce j and % to a common de nominator, 7 times 5 are 35 ; 7 is the number by vt hich the first denominator 5 must be multiplied to produce...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator...

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

Charles Davies - 1833 - 284 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...




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