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" Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. "
The Williams & Rogers Mental Arithmetic ... - Page 86
by James M. Cook - 1897
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The Normal Union Arithmetic: Designed for Common Schools, Normal Schools ...

Edward Brooks - Arithmetic - 1889 - 482 pages
...the same number of fractional units being taken, the value of the fraction will be 4 times as great. 5. Multiplying both numerator and denominator of a...number does not change the value of the fraction. Since multiplying the numerator multiplies the value of the fraction, and multiplying the denominator...
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The Normal Union Arithmetic: Designed as the Primary Part of a ..., Part 1

Edward Brooks - Arithmetic - 1878 - 164 pages
...multiplied and divided f by 2, and hence did not chauge its value. Hence the following PRINCIPLE V. — Multiplying both numerator and denominator of a fraction...number does not change the value of the fraction. Multiply both numerator and denominator of 2. f by 3. 3. f by 5. 4. | by.6. 5. Л by 7. 6. tf by 9....
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A Complete Arithmetic: Oral and Written ; Part First-second, Volume 2

Malcolm MacVicar - Arithmetic - 1878 - 266 pages
...parts as there are units in the number by which they are multiplied. PKIN. III.—Dividing both terms of a fraction by the same number does not change the value of the fraction ; thus, 9-^3 3 12-=-3 4 The amount expressed by the 9 in the numerator or the 12 in the denominator of T 9...
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Elementary Arithmetic, Oral and Written

William Guy Peck - Arithmetic - 1878 - 240 pages
...both the numerator and denominator by the same number. 122. To reduce a fraction to lower terms. terms of a fraction by the same number does not change the value of the fraction. 1. Reduce $ to a fraction whose terms are £ as great. SOLUTION. frf = f . 2. How many thirds of an...
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Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 446 pages
...denominator causes an opposite change in the value of the fraction. (Art. 79.) (c.) Multiplying or dividing both numerator and denominator of a fraction by the...number does not change the value of the fraction. (Art. 80.) 119. A Proper Fraction is one whose numerator is less than the denominator ; as, §, -^j....
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Elementary Arithmetic and how to Teach it

George Ricks - Arithmetic - 1879 - 420 pages
...= J_fL = 3 2 (3) I = Ü = Й .= U From this we see that to multiply (and hence also to divide) the numerator and denominator of a fraction by the same number does not alter its value. Thus in (3) we obtain -Jf from $• by multiplying numerator and denominator by 4...
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A Mental Arithmetic, on the Inductive Plan: Being an Advanced IntellectuaL ...

Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...the same result may also be reached by multiplying both terms of the fraction by 2. Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction. When a fraction is changed to an equivalent one having larger terms,...
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Teachers' Manual of Elementary Arithmetic: Including Oral, Slate, and ...

Malcolm MacVicar - Arithmetic - 1880 - 268 pages
...? In -j^? 3. Change ^ to fourths ; if to fifths; TV to halves. 4. PRINCIPLE. — Dividing both the numerator and denominator of a fraction by the same...number does not change the value of the fraction. 5. How many thirds in $ ? In $ ? In }f ? In ^ ? 6. Change £ and TV each to fourths, and explain. 7....
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The Teachers' and Students' Library: A Compendium of Knowledge Necessary to ...

George Dallas Lind - Education - 1882 - 544 pages
...Why ? — Because it decreases the size of the parts while the number of parts remains the same. V. Multiplying both numerator and denominator of a fraction by the same number does not alter the value of the fraction. Why? Because it increases the number of parts and decreases the size...
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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 324 pages
...number divides the fraction by that number. 3. Multiplying or dividing both numerator and denominator by the same number does not change the value of the fraction. EXERCISES. 58. 1. Read the following fractions, and copy separately : 1, the simple fractions ; 2,...
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