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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... "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 92
των Warren Colburn - 1837 - 276 σελίδες
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Intellectural Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - 1847 - 160 σελίδες
...Note. It will be seen by the above section thai if both the numerator and denominator be multi plied 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 not be altered....

The American Equater, Or Arithmetic Simplified: In which Equations are Used ...

Conley Plotts - 1848
...the quotient remains the same, (page 44) ; therefore, if the NUMERATOR and DENOMINATOR of a fraction be multiplied by the SAME NUMBER, the VALUE of the fraction will remain unaltered, since there is no difference in the quantities. On this principle we may multiply...

American Common-school Arithmetic ...

Rufus Putnam - 1849
...its denominator. 77. If both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction will not be altered, (74.) Thus, ^=f| = ff== ¥ = S=Í = 4; and¿i = íf = T\ = Í=i. The numerator and denominator are...

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

Warren Colburn - 1849 - 160 σελίδες
...Note. It will be seen by the above section that if both the numerator and denominator be multi plied 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 not be altered....

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 336 σελίδες
...multiplied. And, hence, 8. If the numerator and denominator be eithtr BOTH multiplitd or BOTH divided by the same number, the value of the fraction will not be affected. REDUCTION. § 114. Let it be required to reduce a: to a fraction, whose denominator shall...

Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - 1849 - 160 σελίδες
...terms. 14. Reduce f J to its 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 not be altered....

The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 324 σελίδες
...twelfths? Ans. -i x4=14fj ; hence we see that if the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction will not be altered. ADDITION OF FRACTIONS. 1. Add J, j, I, and f. Ans y=»2. In this question we say, 1 part, and 3 parts,...

THE UNIVERSITY ARITHMETIC, EMBRACING THE SCIENCE OF NUMBERS, AND THEIR ...

CHARLES DAVIES, LL.D - 1850
...decrease from multiplying the denominator ; hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Multiply the numerator and denominator of |- by 7. ^ T , 5 5 X 7 35...

An Intellectual and Practical Arithmetic: Or, First Lessons in Arithmetical ...

James L. Enos - 1851 - 144 σελίδες
...value of an improper fraction ? Why ? § 31. — If both terms of the fraction be multipled or divided by the same number, the value of the fraction will not be changed ; because, by the operation, the number of the parts are increased in the same ratio that their...

School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 336 σελίδες
...of the fraction ia not changed ; therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply the numerator a.nd denominator of f by 1 : 7X7 — 49 2. Multiply the...




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