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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... "
First Lessons in Arithmetic: On the Plan of Pestalozzi, with Some Improvements - Page 117
by Warren Colburn - 1825 - 172 pages
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Intellectual Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1828 - 192 pages
...lowest terms. 12. Reduce f J to its lowest terms. 13. Reduce $$ to its lowest terms. 14. Reduce' fj to its lowest terms. Note. It will be seen by the...without a remainder, the fraction will not be altered. * If this article should be found too difficult for the pupil, he may omit it till after the next section....
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Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1828 - 186 pages
...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. • If thin article should be found too difficoh tor Л» pupil, he rar »oU it till »for UM next...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...fraction, J ivi e {the 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 the denominator...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 288 pages
...common denominator. It has been shown above that if both numerator and denominator be •nultiplied 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...
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Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - Mental arithmetic - 1829 - 180 pages
...lowest terms. 13. Reduce -££ to its lowest terms. 14. Reduce f£ to its lowest terms. Note. It \vili be seen by the above section, that, if both the numerator...without a remainder, the fraction will not be altered. • Tf lili» unirle should he (rijiid tan dilficiilt kit ri« pupil, lie m«y «wiiit il lili nftcr...
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 pages
...the original fraction. Hence, ^8. If the numerator and denominator be BOTH multiplied or BOTH divided by the same number, the VALUE of the fraction Will NOT BE ALTERED. THIS is an evident consequence of the combination of the two foregoing articles, in which the multiplication...
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Arithmetic Upon the Inductive Method of Instruction ...: Stereotyped at the ...

Warren Colburn - 1829 - 258 pages
...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...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...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 T-...
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A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ? Ans. Neither, because...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1831 - 282 pages
...fraction, J ' " " ( the denominator. Arith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. yboth 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...
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