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" Both terms of a fraction may be divided by the same number without changing the value of the fraction. "
First Course in Algebra - Σελίδα 140
των Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδες
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Elements of Arithmetic

Etienne Bézout - 1824 - 219 σελίδες
...third term may be put in place of the second, nnd reciprocally, it is inferred that the two antecedents may be multiplied or divided by the same number without changing the proportion ; and also the two consequents. For in making this change, the two antecedents of the given...

Arithmology; or, Theory of common arithmetic, fully proved without algebra

Solomon Edward CASPERSONN - 1844 - 60 σελίδες
...the product of the second into the third divided by the first, and numerator and denominator can be divided by the same number without changing the value of the fraction, the first member and the product of the second and third can be divided by one and the same number...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 503 σελίδες
...fraction may be multiplied by the same number, and, liy similar considerations, it will appear, may be divided by the same number without changing the value of the fraction. Corollary. — Rule. To multiply a fraction by a whole number, multiply the numerator of the fraction,...

Rudimentary treatise on arithmetic

John Radford Young - 1852 - 192 σελίδες
...first ; you have only to remember, that the ratio of 6 to 8 is expressed by the fraction -JJ-, and that numerator and denominator of a fraction may be multiplied or divided by any number you please, in order to get as many other suitable pairs of numbers as you choose : thus,...

An Elementary Intellectual Arithmetic: Containing Numerous Origional ...

Daniel Leach, Robert Swan - 1853 - 160 σελίδες
...24 : 8. This is evident from the fact that the terms of a ratio are the terms of a fraction, which may be multiplied or divided by the same number, without changing the value of the fraction. Proportion is the union of two equal ratios. Fractions having the same denominator are to eack other...

Rudiment: Treatise on Arithmetic, with Key, Τόμος 2

J. R. Young - 1854
...first ; you have only to remember, that the ratio of 6 to 8 is expressed by the fraction -i, and that numerator and denominator of a fraction may be multiplied or divided by any number you please, in order to get as many other suitable pairs of numbers as you choose : thus,...

Outlines of arithmetic

John Box (of London.) - 1861
...REDUCTION OP VULGAR FRACTIONS TO DECIMALS. 117. -Ex. Reduce ^ to a decimal fraction. Since both terms of a fraction may be multiplied or divided by the same number, without altering its value, we can multiply both terms of £ by 1000. lx iaifi = ^$$£. We may now divide both...

The Model Elementary Arithmetic: Including Oral and Written Exercises

Alfred Kirk, Henry Holmes Belfield - 1876 - 207 σελίδες
...the QUOTIENT. Therefore, the principles of division apply to the terms of a fraction, and both terms of a fraction may be multiplied or divided by the...number, without changing the value of the fraction. One half may be changed to two fourths, or three sixths, or ten twentieths, by multiplying both terms...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...where we have divided both numerator and denominator by 2. In the same way it may be shown that both numerator and denominator of a fraction may be multiplied or divided by 3, 4, 5, or any other number, without altering its value. The principle here laid down will also be...

Arithmetic for Pupil Teachers

George Ricks - 1881
...articles at fd. each. 19. Multiply £3 2s. 5fd. by 35. 20. Multiply £64 13s. 7fd. by 329f. SECTION II. The numerator and denominator of a fraction may be multiplied or divided by any number without altering the value of the fraction. I _L_l—J—iJLJ_L_l lllillll AD CЕ B Let...




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