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" Since the numerator and denominator of a fraction may be multiplied by the same number without changing the value of the fraction, they may also be divided by the same number without changing its value ; for this is only undoing the previous multipli,... "
Essentials of Arithmetic: Primary Book - Page 252
by George Wentworth, David Eugene Smith - 1915 - 298 pages
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Treatise on Arithmetic, Practical and Theoretical

Dionysius Lardner - Arithmetic - 1834 - 378 pages
...be shown, that -£,- of a foot is also the same length. (211.) Since the numerator and denominator of a fraction may be multiplied by the same number without changing the value of the fraction, they may also be divided by the same number without changing its value ; for this is only undoing the...
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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...common ac S denominator; as for example, -, - and — ; observe, that the nubdh merator and denominator of a fraction may be multiplied by the same number, without changing its value. The object, then, will be to select multipliers for each one of the proposed fractions,...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...fraction is again diminished the same number of times, and must therefore have its original value. Hence both terms of a fraction may be multiplied by the same number, and, liy similar considerations, it will appear, may be divided by the same number without changing...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...equals 3 twelfths, 3 fourths must equal 3 times 3 twelfths, which is 9 twelfths. Ans. T"T. Or, since both terms of a fraction may be multiplied by the same number without changing its value, multiply both numerator and denominator by 3. _K x ;i MI 1> L •• 8. 2. Reduce $ to sixty.thirds....
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...LCM by the denominators, yz, zx, and xy, we have the quotients x, y, and z, respectively. By Art. 79, both terms of a fraction may be multiplied by the same number without altering its value ; therefore we may multiply both terms of the first fraction by x, both terms of...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 382 pages
...to their least common denominator. By Art. 73, the LC М. of 6, 10, and 15 is 30. Now, by Art. 93, both terms of a fraction may be multiplied by the...number without changing the value of the fraction. Multiplying both terms of g by 5, both terms of -fy by 3, and both terms of {J by 2, the given fractions...
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The Public School Arithmetic: Based on McLellan & Dewey's "Psychology of Number"

James Alexander McLellan, Albert Flintoft Ames - Arithmetic - 1897 - 368 pages
...a younger brother's share. Find the sum of money. 9. Show clearly that both terms of a fraction can be multiplied by the same number, without changing the value of the fraction. 10. A man commenced business with a capital of $8000; the first year he gained $ 40 for every $ 100...
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The Public School Arithmetic: Based on McLellan & Dewey's "Psychology of Number"

James Alexander McLellan, Albert Flintoft Ames - Arithmetic - 1897 - 368 pages
...a younger brother's share. Find the sum of money. 9. Show clearly that both terms of a fraction can be multiplied by the same number, without changing the value of the fraction. 10. A man commenced business with a capital of $ 8000; the first year he gained $40 for every f 100...
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...the given fractions. 182. Reduction to Lowest Common Denominator. Since the numerator and denominator of a fraction may be multiplied by the same number without changing the value of the fraction (Art. 176), in algebra we can reduce any fractions to identical fractions having the lowest common...
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Primary Arithmetic

David Eugene Smith - Arithmetic - 1904 - 336 pages
...11 4. Express ^ as fourths; as eighths; as sixths. 5. Express £ as sixths; as ninths; f as sixths. Both terms of a fraction may be multiplied by the...number without changing the value of the fraction. 1 _ 3 times 1 _ 3 ' 2 = 3 times 2 = 6 ' Both terms of a fraction may be divided by the same number...
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