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" Multiplying or dividing both terms of a fraction by the same number does not change its value. "
Hamilton's Arithmetics - Page 43
by Samuel Hamilton - 1913
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...OPERATIONS. 18 — 2X3X3 — 3 18 — 18-1-6 — 3 30 ~~ fxTxT6 ~ 5' ,°r 30 ~~ 30 -5- 6 ~~ 5ISinoe dividing both terms of a fraction by the same number does not change the value expressed (Art. 141), we divide both terms by the prime factors common to them, by canceling,...
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An Intermediate Arithmetic, Uniting Mental and Written Exercises in a ...

Emerson Elbridge White - Arithmetic - 1870 - 204 pages
...fraction with greater terms, it is reduced to Higher Terms. Art. 66. PRINCIPLE. — Tlie multiplication of both terms of a fraction by the same number does not change its value. Art. 67. RULES. — 1. To reduce a fraction to higher terms, Divide the given denominator by the denominator...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...fraction equal to 1 ? Greater than 1 ? Less than 1 ? 16. Show that the division or multiplication of both terms of a fraction by the same number, does not change its value. How is the value of a proper fraction affected by adding the same number to both of its terms? By subtracting...
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An Elementary Arithmetic

Daniel Barnard Hagar - Arithmetic - 1871 - 220 pages
...Terras when its numerator and denominator have no common factor greater than 1. 183. Principle. — Dividing both terms of a fraction by the same number does not change the value of the fraction. WRITTEN EXERCISES. 184. — 1. Reduce ff to its lowest terms. 20 5 X-&-X...
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A Common School Arithmetic

Daniel Barnard Hagar - Arithmetic - 1872 - 352 pages
...Lowest Terms when expressed in terms which are prime to each other. 162. Principle. — Multiplijiny or dividing both terms of a fraction by the same number does not change its value. For, in the one case, as the number of parts is increased, their size is diminished ; and, in the other...
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Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - Arithmetic - 1872 - 348 pages
...is multiplied by 2 by dividing its denominator by 2. That is, |t|=f, |J2=A, 793±l = |, etc. Hence, Dividing both terms of a fraction by the same number does not change its value. (Sec 277.) 319. The deductions in the last six articles are the General Principles of Fractions. LA...
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New Elementary Arithmetic, Embracing Mental and Written Exercises, for ...

Henry Bartlett Maglathlin - 1872 - 220 pages
...in the dividend and divisor does not change its quotient; and it also follows, that 3. Multiplying both terms of a fraction by the same number does not change its value. 4 4-=-2 4 4X2 Thus, -, or =2, and -, or =2. 2 2-=-2 2 2X2 EXERCISES. What is the Value of a fraction?...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...OPERATIONS. 18 — 2X3X3 — 3 18 — 18 -f- 6 — 3 30 ~~ g~xTx~5 ~ 5' °r 30 ~ 30 -~ 6 ~ 5. Since dividing both terms of a fraction by the same number does not change the value expressed (Art. 141), we divide both terms by What is Reduction of Fractions ? When is a...
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The Complete Arithmetic: Oral and Written

Daniel W. Fish - Arithmetic - 1874 - 526 pages
...by Division. All higher terms of a fraction are multiples of its lowest terms. 208. PRINCIPLE. — Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. (2OO, 3.) WRITTEN EXERCISES. 2O9. 1. Change £ to a fraction whose denominator...
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The High School Arithmetic: Containig All the Matter Usually Presented in a ...

Philotus Dean - Arithmetic - 1874 - 472 pages
...same part of the numerator. ILLUSTRATIONS.— y = 4; = ff; = Jf, &c. y = 4; = '/; = î, &c. Hence, multiplying or dividing both terms of a fraction by the same number, does not aifect the value of the fraction. EXERCISES. 1. Illustrate the first preposition with fg : f ¿§....
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