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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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A Practical Treatise on Arithmetic...: Combining the Useful Properties of ...

George Leonard - 1841 - 340 σελίδες
...simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler. Therefore,...

Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - 1863 - 176 σελίδες
...lowest terms. 12. Reduce §J to its lowest terms. 13. Reduce f $ to its lowest terms. 14. Reduce f | to its lowest terms. Note. It will be seen by the above section that il both the numerator and denominator be multiplied by the same number, the value of the fraction will...

Arithmetic, Designed for Academies and Schools

Charles Davies - 1843 - 12 σελίδες
...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. Q. If the numerator of a fraction be multiplied by a number, how many limes is the...

An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1844 - 276 σελίδες
...together f and f . These must be reduced to a common denominator. It has been shown above that if both numerator and denominator be multiplied by the same...number, the value of the fraction will not be altered. If both the numerator and denominator of the first fraction be multiplied by 7, and those of the second...

An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1844 - 276 σελίδες
...fraction, $ ' " " ' ( the 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 wUl not be altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 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 u^ same number, it does...

Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - 1844 - 338 σελίδες
...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. Q. If the numerator of a fraction be multiplied by a number, how many times is the...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 336 σελίδες
...denominator. (Arts. 112, 113.) 116. 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. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the fraction...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 336 σελίδες
...denominator. (Arts. 112, 113.) 116. 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. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the fraction...

Practical Arithmetic: Uniting the Inductive with the Synthetic ..., Βιβλίο 5

James Bates Thomson - 1846 - 348 σελίδες
...denominator. (Arts. 112, 113.) 11C. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Arts. 88, 109.) Thus, J5Z=3. Now if the numerator and denominator arc both multiplied by 2, the fraction...




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