 | James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...important properties which belong to all fractions : 1. If the terms of any fraction be both multiftlied, or both divided by the same number, the value of the fraction is not changed. 2. A fraction is multiplied by any number either by multiplying its numerator, or dividing... | |
 | George Leonard (Jr.) - Arithmetic - 1839 - 362 pages
...whut fraction do you get ? What is said of its value and form ? What if the denominator and numerator of a fraction be both multiplied, or both divided by the same number? What if both be divided by the same number, without a remainder ? To It performed in the. mind. 1.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...çj гs = one half °f т , ап& generally that =- is a m times greater than — =mb 1 If the terms of a fraction be both multiplied, or both divided, by the same quantity, its value is unchanged.1 For if the numerator be increased я times, the fraction is also... | |
 | Bewick Bridge - Algebra - 1839 - 280 pages
...conclusion, which will be equally true, whatever be the number of divisions in the operation. 136. Hence it follows, that if the numerator and denominator of a fraction be prime to each other, there can exist no other equal fraction having its numerator and denominator respectively... | |
 | William Foster - 1840 - 92 pages
...dividing the denominator, and divided by dividing the numerator : thus ^ x 3=^- : and 4-i-3=£. 4 . If the numerator and denominator of a fraction be both multiplied or divided by the same quantity, the value of the fraction is not altered : thus r=sr : for (Lem, l) when... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...numerators and the denominators of its constituent simple fractions. TRANSFORMATION OF FRACTIONS. 77. If the numerator and denominator of a fraction be both multiplied, or divided by the same number, the value of the fraction will not be altered. For, if the fraction f be... | |
 | George Leonard - Arithmetic - 1841 - 356 pages
...what fraction do we get? What is said of its value and form ? What if the denominator and numerator of a fraction be both multiplied, or both divided by the same number? What if both be divided by the same number, without a remainder ? How do we change a fraction to a... | |
 | George Leonard (jr.) - Arithmetic - 1841 - 352 pages
...what fraction do we get? What is said of its value and form ? What if the denominator and numerator of a fraction be both multiplied, or both divided by the same number ? What if both be divided by the same number, without a remainder ? How do we change a fraction to... | |
 | William Scott - Algebra - 1844 - 568 pages
...regard being had to this condition. It has been proved (Art. 25) that if the terms of any fraction are both multiplied or both divided by the same number, the value of the fraction is not changed ; and this principle has been applied to the reduction of fractions to the lowest terms... | |
 | George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...not altered (See Ratio, Arts. 9 and 10); consequently, if the numerator and denominator of a vulgar fraction, be both multiplied or both divided by the same number, the magnitude of the fraction is not altered. From this property of ratio, we obtain a general rule for... | |
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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. 
