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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 111
1862 - 176 σελίδες
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 146.) Thus, Jj2=3 ; now if the numerator and denominator are both multiplied by 2, the fraction...

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

Conley Plotts - 1848 - 264 σελίδες
...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...

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...without a remainder, the fraction will not be altered. SECTION XIV. i A. 1 A BOY having £ of an orange gave away j of that, what part of the whole orange...

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...

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
...its lowest 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...without a remainder, the fraction will not be altered. " If this article should be found too difficult for the pupil, he may omK It till after the next section....

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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