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Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
The Werner Arithmetic: Oral and Written - Σελίδα 110
των Frank H. Hall - 1898
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## The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 164 σελίδες
...terms of the fraction by their greatest common measure, and the quotient will be the fraction required. •Dividing; both terms of a fraction by the same number does not at all alter its value. If the greatest common measure of a fraction be J, the fraction is already...

## A system of arithmetic

...— Any integer may be considered a fraction whose denominator is 1 ; thus, <,-';. 2. Multiplying or dividing both terms of a fraction by the same number, does not change its value. REDUCTION OF VULGAR FRACTIONS. I. To reduce a mixed number to an equivalent improper fraction....

## A New Practical and Theoretical Arithemtic: In Which, in Addition to the ...

Horatio Nelson Robinson - 1845 - 288 σελίδες
...denominator must be based on the principle that, numerators and denominators multiplied or divided by the same number, does not change the value of the fraction. On this principle, we may understand the following rule, which is universal in its application : RULE....

## Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - 1849 - 395 σελίδες
...have one half. From this proposition the following results as a matter of course^ PROPOSITION 25. or dividing both terms of a fraction by the same number does not alter its value. If the terms of | be multiplied by 2, they become T8Z and if divided by 2 they become...

## LECTURES ON THE PHILOSOPHY OF ARITHMETIC AND THE ADAPTATION OF THAT SCIENCE ...

URIAH PARKE - 1850
...half. From this proposition the following results as a matter of course. PROPOSITION 25. Multiplying or dividing both terms of a fraction by the same number does not alter its value. If the terms of | be multiplied by 2, they become f% and if divided by 2 they become...

## Stoddard's Practical Arithmetic

John Fair Stoddard - 1852 - 299 σελίδες
...inspecting propositions 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change, the value of the fraction. QUESTIONS. ART. VI, Repeat proposition 1. Why is this so 7 Repeat proposition 2. Why is this so 7 Repeat...

## An Introduction to Arithmetic: Containing the Most Useful Rules in Common ...

James Gray - 1854 - 108 σελίδες
...NOTE 1. Any whole number may be expressed like a fraction, by writing 1 under it. 2. Multiplying or dividing both terms of a fraction by the same number does not change its value. REDUCTION OF VULGAR FRACTIONS. PROB. l. To reduce a fraction to its lowest terms. RULE....

## The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - 1856 - 292 σελίδες
...inspecting proposition 2 and 4, we deduce PROPOSITION 6. — Dividing both numerator and denominator of any fraction by the same number, does not change the value of the fraction. MULTIPLICATION OF FRACTIONS BY INTEGERS. ART. 117. According to propositions 1st and 2d, to to multiply...

## A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 355 σελίδες
...both nuT mcrator and denominator of this complex fraction, -, by 7, we 7 obtain J ; but multiplying both terms of a fraction by the same number does not change its value (60, Cor.), .-.- = £; ie the reciprocal of f is £ ; and, generally, the reciprocal of any...

## The Mathematical Monthly, Τόμος 2

1860
...of Fractions to a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following...