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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 Normal Standard Arithmetic: By Analysis and Induction, Designed for ... - Page 96
by Edward Brooks - 1895 - 415 pages
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The Mathematical Monthly, Volume 2

1860 - 462 pages
...of Fractions to a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 pages
...both numerator and denominator of this complex fraction, -, by 7, we 7 1 obtain 1-; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .-. -= £; 5. e. T the reciprocal of ^ is £ ; and, generally, the reciprocal...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1863 - 350 pages
...fraction will be 4 times as great. Therefore, etc. PROP. V. — Multiplying Loth numerator and denominator of a fraction by the same number does not change the value of the fraction. DEM. — Since multiplying the numerator multiplies the value of the fraction, and multiplying the...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - Arithmetic - 1864 - 322 pages
...multiplying both numerator and denominator of this complex fraction, -, by 7, we obtain £ ; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .*. - = £; ie the reciprocal of £ is J ; and, generally, the reciprocal of...
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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 376 pages
...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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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 364 pages
...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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Illinois Teacher: Devoted to Education, Science and Free Schools, Volume 12

Education - 1866 - 538 pages
...of Chain Fractions. The usual rule for the reduction of fractions is based upon the principle that dividing both terms of a fraction by the same number does not alter its value. Another mode of procedure, when the terms, without being prime numbers, are prime...
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 350 pages
...dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of a fraction multiplies the fraction....
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 358 pages
...dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of a fraction multiplies the fraction....
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The Analysis of Intellectual Arithmetic: With Mental and Blackboard ...

Stoddard A. Felter - Arithmetic - 1868 - 238 pages
...§ and | to the most convenient denomination.* • Twelfths. ILLUSTRATION. FORM. — Multiplying or dividing both terms of a fraction by the same number does not change its value ; hence if the terms of f are multiplied by 4, and the terms of | are multiplied by 3, the...
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