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" 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. "
Arithmetic: Being a Sequel to First Lessons in Arithmetic - Σελίδα 186
των Warren Colburn - 1824 - 267 σελίδες
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Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ...

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...which the numerator 4 must be multiplied. NB It appears from the above reasoning, that if both tho numerator and denominator of any fraction be multiplied...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator...

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...— The demonstration of the preceding rule depends upon the following principle. If both terms of a fraction be multiplied by the same number, the value of the fraction is not altered ; for, by multiplying the numerator, the fraction is multiplied (20), and by multiplying...

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Charles Davies - 1838 - 292 σελίδες
...from 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 fraction...

Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - 1843 - 348 σελίδες
...from 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 fraction...

Arithmetic Designed for Academies and Schools: With Answers

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...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 tinny times is the fraction...

An Introduction to Algebra upon the Inductive Method of Instruction

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...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...

Arithmetic Designed for Academies and Schools: With Answers

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...from multiplying the denominator; hence we have, PROPOSITION V. If tlie 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 fraction...

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

Conley Plotts - 1848 - 278 σελίδες
...quantity, 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 \ by 3,...

Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

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...to the 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 imll remain unchanged. ' EXAMPLES. 1. Multiply the numerator and denominator of y by 7: this gives...

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...to the 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 We have,...




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