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" Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. "
New Practical Arithmetic: In which the Science and Its Applications are ... - Page 97
by Henry Bartlett Maglathlin - 1880
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Written Arithmetic

George Augustus Walton - 1876 - 358 pages
...expressed in the form of a fraction, the dividend being the numerator, and the divisor the denominator ; since dividing both terms of a fraction by the same number does not alter its value, it follows, that we may strike out, or cancel, any factors common to the dividend...
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The California Teacher: A Journal of School and Home Education and ..., Volume 8

Education - 1870 - 386 pages
...California look to Mr. Marks to establish beyond question. The author says: "B's class might solve it thus: dividing both terms of a fraction by the same number does not alter its value, dividing by 3 etc., and this, which is called the deductive method, must be satisfactory."...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin, Benjamin Greenleaf - Arithmetic - 1877 - 372 pages
...terms. 3. Reduce ^$ to its smallest terms. OPERATIONS. 18__%X3X3_3 18 _ 18 -f- 6 _ 3 30~ЙХЗХ5~5' or 30 ~ 30 -r- 6 ~ 5' Since dividing both terms of a...expressed (Art. 141), we divide both terms by What is Induction of Fractions ? When is a fraction expressed in its lowest or smallest terms. the prime factors...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 402 pages
...Smallest, or Lowest Terms when its numerator and denominator have no common divisor. 161. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change the value of tiie fraction. WRITTEN EX&RCISES. 162. 1. Change ff to an equivalent fraction expressed in its smallest,...
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Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 350 pages
...result is T65; in T«j there are twice as many parts as in |, but they are only one-half as large. 6. Dividing both, terms of a fraction by the same number does not change its value. Thus, if both terms of Д be divided by 2, the result will be f; in f there are only one-half...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 528 pages
...ratio by any number does not change its value. For, o : e equals the fraction — and multiplying or dividing both terms of a fraction by the same number does not change its value. CASE I. 725. To find the value of a, simple ratio. 1. What is the ratio of 12 to 18 ? SOLUTION....
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 418 pages
...Smallest, or Lowest Terms when its numerator and denominator have no common divisor. 161. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change tlie value of the fraction. WRITTEN EXERCISES. 162. 1. Change ff to an equivalent fraction expressed...
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The Elements of Arithmetic, Oral and Written: Designed for Pupils in the ...

Horatio Nelson Robinson - Arithmetic - 1877 - 250 pages
...its Lowest Terms, when ita numerator and denominator are prime to each other. 235. PRINCIPLES. — Dividing both terms of a fraction by the same number does not change its value. 1. How many fourths are equal to -^ ? ff ? J$ ? 2. Reduce ^ to fifths ; £| to eighths....
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The Normal Union Arithmetic: Graded Course, Volume 2

Edward Brooks - Arithmetic - 1877 - 250 pages
...taken, the value of the fraction will be 4 times as great. 5. Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction. . Since multiplying the numerator multiplies the value of the fraction, and multiplying...
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The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ...

Albert Newton Raub - Arithmetic - 1877 - 348 pages
...their lowest terms. 14. Reduce -}|, £f, ff, |f to their lowest terms. PRINCIPLE. — The division of both terms of a fraction by the same number does not change its value. WRITTEN PROBLEMS. 1. Keduce Ц-f to its lowest terms. SOLUTION. Explanation. — Dividing...
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