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" Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. "
Solid Geometry - Page 195
by Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 pages
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...RATIO AND PROPORTION. those involved in the corresponding operations on other fractions. (5.) Hence, multiplying or dividing both terms of a ratio by the same number will not alter its value. 1. Reduce 4 : 6 to its lowest terms. Solution. — Dividing both terms by...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...precisely the same a* those involved in the corresponding operations on other fractions. (b.) Hence, multiplying or dividing both terms of a ratio by the same number will not alter its value. 1. Reduce 4 : 6 to its lowest terms. Solution. — Dividing both terms by...
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The Common-school Arithmetic: a Practical Treatise on the Science of Numbers

Dana Pond Colburn - 1858 - 288 pages
...every respect to those involved in the corresponding operations on other fractions ; hence — (1.) Multiplying or dividing both terms of a ratio by the same number does not alter its value. 1. Reduce 9 : 12 to its lowest terms. SOLUTION.— Dividing both terms by 3 gives...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...precisely the same as those involved in the corresponding operations on other fractions. (6.) Hence, multiplying or dividing both terms of a ratio by the same number will not alter its value. 1. Reduce 4 : 6 to its lowest terms. Solution. — Dividing both terms by...
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The Examiner: Or, Teacher's Aid

Alexander Duncan - Examinations - 1865 - 180 pages
...of multiplying the ante cedent or dividing the consequent? ART. 245, 2d. 20. What is the effect of multiplying or dividing both terms of a ratio by the same number? ART. 245, 3d. 21. Define PROPORTION. ART. 246. 22. What signs are used to indicate proportion ? ART....
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...Multiplying both terms of a ratio by the same number does not change the value of the ratio. PRIK. III. — Dividing both terms of a ratio by the same number does not change the value of the ratio. For the illustration of these principles refer to (235). 680. PKOB. I. — To find the ratio between...
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The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt ...

Adolf Sonnenschein - 1880 - 496 pages
...fraction by the same number the value of the fraction is unaltered (Ch. II. § 1). Simi: larly, By multiplying or dividing both terms of a ratio by the same number the ratio is unaltered. Eg : since | = ^ 4 : 5 = 8 : 10. Again : as f- > §, so 3 : 4 > 2 : 3. EXERCISE...
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Publications of the American Statistical Association, Volume 14

American Statistical Association - Computer network resources - 1916 - 864 pages
...ordinate of one curve may be multiplied by a constant multiplier, since multiplying both terms of the ratio by the same number does not change the value of the ratio. Moreover, the above objection applies not only to the ordinary form of the Pearsonian Coefficient of...
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Soule's Intermediate Philosophic Arithmetic, Embracing Oral and Written Problems

George Soulé - Arithmetic - 1888 - 568 pages
...the antwfdcnt or multiplying the consequent divides the ratio. 3. Multiplying or dividing both terms by the same number does not change the value of , the ratio. 476. These general principles may be .formulated into one General Law, as follows: Any change in the...
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School Arithmetic; Advanced Book

John Marvin Colaw, John Kelley Elkwood - Arithmetic - 1900 - 450 pages
...by any number divides the ratio by that number. 3. Multiplying or dividing antecedent and consequent by the same number does not change the value of the ratio. 238. Since a ratio is the quotient of an antecedent by its consequent, it follows that (a). The antecedent...
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