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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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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...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...

The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 σελίδες
...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...

Arithmetic Upon the Inductive Method of Instruction ...: Stereotyped at the ...

Warren Colburn - 1829
...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...

Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...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-...

A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - 1830 - 288 σελίδες
...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...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1831 - 276 σελίδες
...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...

The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - 1833 - 270 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. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from Prop. II, that if the numerator...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 276 σελίδες
...together | and | . Those must he 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 tillered. If both the numerator and denominator of the first fraction be multiplied by 7, and thc.~e...

Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - 1836 - 172 σελίδες
...lowest terms. 12. Reduce f£ to its lowest terms. 13. Reduce |-f to its lowest terms. 14. Reduce ffi to its lowest terms. Note. It will be seen by the...without a remainder, the fraction will not be altered. SECTION XIV. A. 1. A BOY, having £ of an orange, gave away £ of that ; what part of the whole orange...

Intellectual Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - 1836 - 172 σελίδες
...lowest terms. ' 0. Reduce fa to its lowest terms. 11. Reduce §f to its lowest terms. 12. Reduce §£ to its lowest terms. 13. Reduce ££ to its lowest...section, that, if both the numerator and denominator he multiplied by the same number, the value of the fraction •will not be altered; or, if they can...




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