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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... "
Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ... - Σελίδα 117
των Warren Colburn - 1827 - 172 σελίδες
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 374 σελίδες
...denominator. Now it has been demonstrated that, if both terms of the fraction be multiplied or divided by the same number, the value of the fraction will not be affected. Hence we infer, 1. If the terms of a ratio be multiplied or divided by the same number, it...

Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 180 σελίδες
...lowest terms. 11. Reduce ff to its lowest terms. 12. Reduce f | to its lowest terms. -J3. Reduce fjf to its lowest terms. 14. Reduce ff to its lowest terms....without a remainder, the fraction will not be altered. SECTION XIV. A. 1. A BOY having i of an orange gave away ^ of that, what part of the whole orange did...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 426 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...

Intellectual Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - 1847 - 170 σελίδες
...lowest terms. 12. Reduce §£ to its lowest terms. 13. Reduce ±$ to its lowest terms. 14. Reduce f | to its lowest terms. 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...

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

Conley Plotts - 1848 - 276 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...

American Common-school Arithmetic ...

Rufus Putnam - 1849 - 402 σελίδες
...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 - 348 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...

The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 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 - 1850 - 412 σελίδες
...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 - 156 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...




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