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" Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page 42
by Timothy Walker - 1829 - 129 pages
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A Mental Arithmetic, Upon the Inductive Plan

Benjamin Greenleaf - Mental arithmetic - 1860 - 164 pages
...number greater than 1 will divide both its numerator and denominator, without a remainder. Dividing the numerator and denominator of a fraction by the same number, does not alter the value of the fraction. 52. Reduce -fa and T\ to their lowest terms. 53. Reduce -fv and ^ to their...
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Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1861 - 338 pages
...changes only the form of the fraction, while the value expressed remains the same. Therefore, Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Divide the numerator and denominator by any number greater than...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 pages
...new numerators. NOTE 1. Each of these rules is foutjded on the principle that multiplying both terms of a fraction by the same number does not alter its value. 16. Reduce J, £, and T \. OPERATION BY THE SECOND RULE. 1 -^ 2 X 2 X 3 X 2 = 24, least comi_££ mon...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1863 - 350 pages
...3 times 3^;, which are « ij- Therefore, oto. SOLUTION 2n. — Since, by Prop. V., multiplying both numerator and denominator of a fraction by the same number does not change its value, we multiply both terms by the number which will give the required denominator, which...
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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 376 pages
...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 and divisor without...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - Arithmetic - 1864 - 322 pages
...and seventy-eight thousand, six hundred and ninetytwo ten-millionths. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its value ; thus,...
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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 364 pages
...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 and divisor without...
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Illinois Teacher: Devoted to Education, Science and Free Schools, Volume 12

Education - 1866 - 538 pages
...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 to each other, is...
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 358 pages
...the numerator being the 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...
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 350 pages
...the numerator being the 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...
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