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" Multiplying or dividing both terms of a fraction by the same number does not change its value. "
The Mathematical Monthly - Page 113
1860
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Orton & Sadler's Business Calculator and Accountants Assistant: Cyclopædia ...

Hoy D. Orton, Warren H. Sadler - Business mathematics - 1888 - 342 pages
...the denominator. To decrease or divide a fraction, Divide the numerator or multiply the denominator. Multiplying or dividing both terms of a fraction by the same number does not change its value. Fractions may be reduced, added, subtracted, multiplied, and divided. Mental Operation* in Fractiont....
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Soule's Intermediate Philosophic Arithmetic, Embracing Oral and Written Problems

George Soulé - Arithmetic - 1888 - 568 pages
...By cnncelling the common factors, the work is shortened and the result unchanged for the reason that dividing both terms of a fraction by the same number does not alter its value. 2. Reduce § of £ 6f f to a simple fraction. OPERATION. 2355 -XX-= — Ans. Ans....
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Orton & Sadler's Business Calculator and Accountants Assistant: A ...

Hoy D. Orton - Business mathematics - 1889 - 344 pages
...denominator. To decrease or divide a fraction, D-ivi.de the numerator of multiply the denominator. Multiplying or dividing both terms of a fraction by the same number does not change its mine. Mental Operations in Fraction*. To square any number containing £, as 6^, 9}, RULE. — Multiply...
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Elementary Arithmetic: Combining Oral and Written Exercises

Edward Sylvester Ellis - Arithmetic - 1889 - 196 pages
...I- ; «-6 = j. ART. 103. — Multiplying both numerator and denominaf 6. H. 7. A. 8. f 9. A. 10. tor of a fraction by the same number does not change its value, because the increase in the number of fractional units is equaled by the decrease in their size. Thus,...
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Complete Arithmetic: Combining Oral and Written Exercises

Edward Sylvester Ellis - Arithmetic - 1889 - 370 pages
...fractional units. Thus, f*3 = i;f*»=ijf*«=i. ART. 119. — Multiplying both numerator and denominator of a fraction by the same number does not change its value, because the increase in the number of fractional units is equaled by the decrease in their size. Thus,...
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A Grammar School Arithmetic

George Albert Wentworth - Arithmetic - 1889 - 434 pages
...both terms of a fraction by the same number does not alter the value of the fraction. Principle 2. Dividing both terms of a fraction by the same number does not alter the value of the fraction. REDUCTION OF FRACTIONS. Rule for reducing an improper fraction to...
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First Book of Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - Arithmetic - 1890 - 178 pages
...both terms of jj by 2, the SO V 2 = 60 ' AnS' quotient. To TEACHEKS. — Show that the multiplying of both terms of a fraction by the same number does not change its value. 14. Solve examples 9, 10, 11, and 12 above on paper. 15. Reduce £| to ninety-sixths ; to seventy-seconds....
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The New Model Arithmetic

Henry Holmes Belfield - Arithmetic - 1891 - 362 pages
...division of a denominator multiplies, the fraction by that number. III. The multiplication or division of both terms of a fraction by the same number does not change the value of the fraction. ADDITION. 264. 1. Find the sum of f and f. SOLUTION. The sum of two ninths...
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Standard Arithmetic: Embracing a Complete Course for Schools and Academies

William James Milne - Arithmetic - 1892 - 440 pages
...to 20ths. 25. f to ISths. 12. 1 to ISths. 19. 2 ^ to 21sts. 26. I to 3Oths. 103 133. PRINCIPLE. — Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. WRITTEN EXERCISES. 134. 1. Change ^ to 48ths. EXPLANATION. - Since there...
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New Elementary Arithmetic: Embracing Mental and Written Exercises, for Beginners

Henry Bartlett Maglathlin - Arithmetic - 1893 - 234 pages
...denominator to the divisor. Thus, the quotient of 1 divided by 2 is i ; 3 divided by 4 is I ; and £ Is 2. 2. Dividing both terms of a fraction by the same number does not change its value. For it has been shown, that canceling equal factors in the dividend and divisor does not change its...
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