 | Arithmetic - 1829 - 196 pages
...the original fraction. Hence, ^8. If the numerator and denominator be BOTH multiplied or BOTH divided by the same number, the VALUE of the fraction Will NOT BE ALTERED. THIS is an evident consequence of the combination of the two foregoing articles, in which the multiplication... | |
 | Warren Colburn - Algebra - 1830 - 288 pages
...together «£ and2^. ^u. 3a + 2a = 5JL fdcd cd cd 4. Add together2-?- andl^. An,. 2a+6ja6. ,3 erf 3cd 3crf 5. Add together f and f . These must be reduced...and those of the second by 5, the fractions become f } and if. They are now both of the same denomination, and Ihoir numerators may be added. The answer... | |
 | William Smyth - Algebra - 1830 - 278 pages
...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. Putting T-... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ? Ans. Neither, because... | |
 | Warren Colburn - Algebra - 1836 - 286 pages
...= — . cd cd* cd cd 4. Add together^- and IfL* Ans. 2a+5au. 3cd 3cd 3cd 5. Add together £ and 4. These must be reduced to a common denominator. It...be altered. If both the numerator and denominator cf the first fraction be multiplied by 7, and those of the second by 5, the fractions become fi and... | |
 | Warren Colburn - Arithmetic - 1836 - 190 pages
...lowest terms. Note. It will be seen by the above section, that, if both the numerator and denominator he multiplied by the same number, the value of the fraction •will not be altered; or, if they can both be divided by the same number without a remainder, the fraction will not be altered.... | |
 | Silas Totten - Algebra - 1836 - 332 pages
...lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator (21), and multiplied by dividing its denominator... | |
 | Mathematics - 1836 - 488 pages
...dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction by the denominators... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...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 multiplied by 5, the product is j: and again if this be divided by 5, the... | |
 | John H. Harney - Algebra - 1840 - 298 pages
...if the numerator of a fraction and its denominator be each multiplied by the same number, or divided by the same number, the value of the fraction will not be altered. I в - 3 - 4 2 - 2 - 27 - i0з tr,, 57 — T¥ — ï- s — T s — ÏS — lïï' oí'c> abc_bc_b... | |
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It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If... 
