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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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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...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction by the denominators...

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator (21), and multiplied by dividing its denominator...




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