 | William Smyth - Algebra - 1855 - 370 pages
...demon•etrating certain properties in relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever.... | |
 | Great Britain - 1854 - 500 pages
...multiply the denominator by 0, and obtain as the result ^J ; but if each of these numbers he divided by the same number, the value of the fraction is not altered. Ыепсе we divide both by 3, and obtain £ as an answer. But we want J of £1, or 20s., or 240d.... | |
 | 1856 - 418 pages
...relating to Vulgar Fractions. 10. PRINCIPLE 1. — If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered, that is, the valu« of the fraction remains the ваше ai before ; and if the numerator and denominator... | |
 | Barnard Smith - 1857 - 740 pages
...smaller number. II. 1. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered : prove this by means of an example. 2. What number subtracted from 41 J leaves 19 J- ? and what number... | |
 | William Smyth - Algebra - 1858 - 344 pages
...demonstrating certain properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by -, and let n be any number whatever.... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...and 134). Thus т = т- ' And so also if the numerator and denominator of a b be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both numerator... | |
 | Chambers W. and R., ltd - 1859 - 344 pages
...rules are founded on the principle formerly stated, that when both the terms of a fraction are divided by the same number, the value of the fraction is not altered. The division of the terms of a fraction by any MEASURE is called cancellin9. In applying the Rule,... | |
 | Philip Kelland - Algebra - 1860 - 308 pages
...the numerator. REDUCTION. The fundamental proposition of reduction of fractions is this : 7 4. PROP. If the numerator and denominator of a fraction be multiplied by the same quantity, the fraction is unaltered in value. Let- be the fraction, where a and b are integers, then... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...each part; henco the value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply... | |
 | Charles Davies - Arithmetic - 1863 - 346 pages
...hence, the value of the fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. , 1. Multiply the numerator and denominator of -f by 7 : this gives,... | |
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If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 
