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" If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. "
Arithmetic Designed for Academies and Schools: With Answers - Σελίδα 135
των Charles Davies - 1846 - 340 σελίδες
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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - 1824 - 292 σελίδες
...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 by the...

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
...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 by the...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...follows, that if the numerator and denominator of a fraction, be either both multiplied, or both divided by the same number, the value of the fraction will remain unchanged. rp, 24,'_12_6_2 2_4_6_j!_ . US3T~I¥~9~3; 5~10~15-20' 43. From the preceding, it is obvious, that the...

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...

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
...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 by the...

Elements of Algebra

William Smyth - 1830 - 278 σελίδες
...demonstrating 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...

A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - 1830 - 308 σελίδες
...decimals. Another mode of explaining the above operation may be given. 13. Change Jg to a decimal. If both numerator and denominator of- a Fraction be multiplied by the same . number, the value will not be altered, (§ XLI.) I may therefore multiply both the 7 and the 16 in the above Fraction,...

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

Charles Davies - 1833 - 284 σελίδες
...just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied...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 of a fraction...




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