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" Dividing both numerator and denominator of a fraction by the same number both divides and multiplies the fraction by that number, and, therefore, docs not alter its value. "
The Common-school Arithmetic: a Practical Treatise on the Science of Numbers - Page 119
by Dana Pond Colburn - 1858 - 276 pages
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Bradbury's New Elementary Arithmetic: Comprising Oral and Written Work

William Frothingham Bradbury - Arithmetic - 1895 - 200 pages
...fraction. Thus, 2 , 4 4 t, 2 - X 2 = -; -=-2 = ^. 5 55 5 and --=-2 = -; - x 2 = - . (c.) Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. Thus, 3 _ 3x2 _ 6 6 6 — 2 _3 6 ~~ 5~>T2 - 10 5 r' 10...
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The Williams & Rogers Mental Arithmetic ...

James M. Cook - 1897 - 216 pages
...Thus, \ ^ | — -3^. The number of parts is increased as many times as their size is diminished. 6. Dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. Thus, * * = |. The number of parts is diminished as many...
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Children's Arithmetic by Grades: Essential elements. Fourth book, fifth year

William Estabrook Chancellor - Arithmetic - 1901 - 152 pages
...number multiplies the fraction by that number. VT 1-5_2_10 24 -M _ 6 — _2 4 25+5 5 25 100+4 25 100 Dividing both numerator and denominator of a fraction by the same number does not affect its value. VTf 3 : 3 :; 8+ 1 _ 4 3-1 _ 2 * 6 + 1 ~ 6 6 - Т ~ 5 -'S 5 ~ ;Increasing...
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Heath's Primary Arithmetic

Charles Edward White, Bruce Mervellon Watson - Arithmetic - 1901 - 282 pages
...dividend and divisor by the same number affects the quotient how ? (-See Cancellation, article No. 103.) Dividing both numerator and denominator of a fraction by the same number affects the value of the fraction how ? Change the following to their lowest terms : 131. Mental. !•...
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Graded Work in Arithmetic, Book 5

Samuel Wesley Baird - Arithmetic - 1901 - 172 pages
...terms of ^| by 2, what fraction will you get ? Have you changed the value of the fraction? 6. Does dividing both numerator and denominator of a fraction by the same number alter the value of the fraction ? 7. Change | to 4ths ; -f% to 6ths ; j82- to 4ths ; -^ to 4ths ; ^...
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The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - Arithmetic - 1902 - 652 pages
...denominator of a fraction by the same number does not change the value of the fraction. Sx,~7~S- TXi~TT~T7. Dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. TALK: if + s ~ T ~~ TT- TT * 9 ~~ t "~ TTMany practical...
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Arithmetic: Intermediate : Essential Principles

William Estabrook Chancellor - Arithmetic - 1902 - 264 pages
...fraction by that number. VT 10 + 5_2_10 24 -i-4 _ G _ 24 V1' 25-5 — 5 — s 100-H4 — 26 — 100" Dividing both numerator and denominator of a fraction by the same number does not affect its value. VII 3 — а _з_ _ 3 1-й — 4 3-1 _ 2 5+16 5-1 5 "5 5 "5 Increasing...
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...common factor ax ; hence ax2 ifx _ ax xa _ a ftt2 ax xxx 176. PRINCIPLE OF REDUCTION. Multiplying or dividing both numerator and denominator of a fraction by the same number, not 0, does not change the value of the fraction. This principle may be proved as follows : By definition...
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Advanced Arithmetic

Elmer Adelbert Lyman - Arithmetic - 1905 - 270 pages
...into which unity is divided and therefore the fraction is J as large as before. 78. Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. 5x2 2 (1) = -• Multiplying both numerator and denominator...
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School Arithmetic: Practical Book

John Marvin Colaw, Frank Williamson Duke - Arithmetic - 1906 - 408 pages
...the same number without changing the value of the fraction. For example, - = ~ = - • 6 6-2 3 114. Dividing both numerator and denominator of a fraction by the same number is called canceling the common factor. 115. To change to Smallest Denominators. By Art. 114, we may...
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