 | Benjamin Greenleaf - Mental arithmetic - 1860 - 164 pages
...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 lowest terms. 54. Reduce... | |
 | Alfred Holbrook - Teaching - 1860 - 486 pages
...alter the value of the fraction. 4. Dividing the numerator divides the fraction. 6. Dividing both terms by the same number does not alter the value of the fraction. DEMONSTRATIONS. Prop. 1. Because it increases the number of parts while their size remains the same.... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 191.) Thus, the ratio of 12:4 is 3 ; The " 12X2: 4X2 is 3; And " 12-J-2 : 4-f-2 is 3. 485. If... | |
 | Benjamin Greenleaf - Arithmetic - 1861 - 338 pages
...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 1, that will divide them... | |
 | James Bates Thomson - Arithmetic - 1862 - 436 pages
...number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 191.) Thus, the ratio of 12:4 is 3 ; The " 12X2 : 4x2 is 3; And " 12-f-2 : 4-7-2 is 3. 485. If... | |
 | James A. Christie - 1865 - 454 pages
...Principle xx. For, v A = A xf = U ' ••• U Hf = -A- = ft-. Hence, Dividing Numerator and Denominator by the same Number does not alter the value of the Fraction. EXTENSION OF PRINCIPLE XIII. Multiplying or Dividing the Numerator and Denominator of a Fraction by... | |
 | Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1868 - 390 pages
...§ to its lowest terms. FIRST OPERATION. ANALYSIS. Dividing both 41 — §* = J-2 = if Ans. terms of a fraction by the same number does not alter the value...of -| are prime to each other, the lowest terms of |.jj. are |. We have, in effect, canceled all the factors common to the numerator and denominator.... | |
 | Benjamin Greenleaf - Arithmetic - 1871 - 350 pages
...the fraction (Art. 133), remains the same. Therefore, Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Multiply each numerator by all the denominators except its own, for the new numerators; and... | |
 | James Bates Thomson - Arithmetic - 1872 - 236 pages
...these changes are made ? The principle that multiplying or dividing both the numerator and denominator by the same number does not alter the value of the fraction. (P. 93, Pr. V.) CASE I. To reduce a Fraction to higher terms. 1. Reduce f to twentieths. ANALYSIS.... | |
 | George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...greater than 1. EXAMPLE. — Reduce 4f to its lowest terms. Dividing both numerator and denominator by the same number does not alter the value of the fraction (§ 137). We therefore divide by their common factors in succes- EI 45 o sion. Dividing by fi, we I... | |
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AnS. a fraction by the same number does not alter the value of the fraction... 
