If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Higher Book - Page 71by William Seneca Sutton - 1896Full view - About this book
| Etienne Bézout - Mathematics - 1824 - 219 pages
...equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided **by the same number, the value of. the fraction is not changed.** But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |.. For, a fraction... | |
| Warren Colburn - Arithmetic - 1824 - 292 pages
...multiplied. NB It appears from the above reasoning, that if Both the numerator and denominator of any **fraction be multiplied by the same number, the value of the fraction** will remain the same. It will follow also from this, that if both numerator and denominator can be... | |
| Warren Colburn - Arithmetic - 1826 - 245 pages
...multiplied. NB It appears from the above reasoning, that if both the numerator and denominator of any **fraction be multiplied by the same number, the value of the fraction** will remain the same. It will follow also from this, that if both numerator and denominator can be... | |
| George Lees - 1826 - 266 pages
...their common denominator. The principle of this rule is, that if the numerator and denominator be both **multiplied by the same number, the value of the fraction is not** altered. That both terms are multiplied by the same number, by applying the preceding rule, will readily... | |
| Warren Colburn - 1829 - 258 pages
...multiplied. NB It appears from the above reasoning, that if both the numerator and denominator of any **fraction be multiplied by the same number, the value of the fraction** will remain the same. It will follow also from this, that if both numerator and denominator can be... | |
| Frederick Augustus Porter Barnard - Arithmetic - 1830 - 288 pages
...decimals. Another mode of explaining the above operation may be given. 13. Change Jg to a decimal. **If both numerator and denominator of- a Fraction be multiplied by the same . number, the value** will not be altered, (§ XLI.) I may therefore multiply both the 7 and the 16 in the above Fraction,... | |
| William Smyth - Algebra - 1830 - 264 pages
...demonstrating certain properties in relation to known and given numbers. if 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 p and let n be any number whatever.... | |
| Augustus De Morgan - 1831 - 108 pages
...result. The most important property of a fraction is, that if both its numerator and denominator are **multiplied by the same number, the value of the fraction is not** altered ; that is, £ is the same as i|, or each part is the same when we divide 12 inches into 20... | |
| Charles Davies - Arithmetic - 1833 - 270 pages
...just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the **numerator and denominator of a fraction be multiplied by the same number, the value of the fraction** will remain unchanged. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from Prop. II, that if... | |
| Silas Totten - Algebra - 1836 - 362 pages
...Demonstration. — The demonstration of the preceding rule depends upon the following principle. If both terms **of a fraction be multiplied by the same number, the value of the fraction is not** altered ; for, by multiplying the numerator, the fraction is multiplied (20), and by multiplying the... | |
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