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" Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. "
Elementary Algebra - Page 175
by George William Myers, George Edward Atwood - 1916 - 338 pages
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 164 pages
...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...
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A system of arithmetic

John Husband (math. master, Berwick.) - 1841 - 126 pages
...is 24. NOTE 1. — 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....
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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...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....
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1849 - 395 pages
...case 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...
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1850 - 402 pages
...case have one 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...
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Stoddard's Practical Arithmetic

John Fair Stoddard - Arithmetic - 1852 - 324 pages
...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...
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Text-book of Arithmetic: For the Use of Teachers : Including All the ...

John Hunter - Arithmetic - 1852 - 184 pages
...measure of 1173 and 1518. The principal steps of the investigation may be marked as follows : — * Multiplying or dividing both terms of a fraction by the same number is, in effect, multiplying or dividing the fraction by unity. Thus JX % = f J ; but T, = 1 ; therefore...
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The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...simplest terms. 17. Reduce ^i/j of a dollar to its lowest terms. 18. What is the simplest form of REMARK. Multiplying or dividing both terms of a fraction by the same number, only alters its form not its value. (See Division, sec. 175.) 19. Reduce -f^-g to its simplest form....
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An Introduction to Arithmetic: Containing the Most Useful Rules in Common ...

James Gray - Arithmetic - 1854 - 108 pages
...fraction, as 4^. 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....
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - Arithmetic - 1856 - 312 pages
...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...
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