 | John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided, by the same number, the value of the fraction will not be altered : thus, |=•=ja=£a», &c. And on these principles the greater part of the following rules are founded.... | |
 | Leonhard Euler - Algebra - 1821 - 380 pages
...it results, that, ifbsth the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater, so... | |
 | Silvestre François Lacroix - Arithmetic - 1821 - 127 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater, so... | |
 | Warren Colburn - Algebra - 1825 - 372 pages
...multiply a fraction, ) ' ^ the denominator. Arith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be multiplied by...number, the value of the fraction will not be altered. Arith. Art. XIX. For, multiplying the numerator multiplies the fraction, and multiplying the denominator... | |
 | Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater, so... | |
 | Warren Colburn - Algebra - 1826 - 290 pages
..._ and — Ans. — -II — = —. ca cd co erf 4. Add together?-?- and^. Jh*. -- . . Serf 3cd Serf 5. Add together f and f . These must be reduced to...and those of the second by 5, the fractions become f| and ££ . They are now both of the same denomination, and their numerators may be added. The answer... | |
 | Warren Colburn - Arithmetic - 1827 - 172 pages
...terms. 14. Reduce ff to its lowest terms. Note. It will be seen by the above section that if both the numerator and denominator be 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.... | |
 | Warren Colburn - Algebra - 1828 - 276 pages
...co cd 4 » 1 1 . ii. 2a j 5 a 6 /, 2 a 4- 5 a 6 4. Add together and —__::. Ans. X__ 3crf 3cd 3cd 5. Add together f and f . These must be reduced to...those of the second by 5, the fractions become fi and ±f . They are now both of the same denomination, and their numerators may be added. The answer is... | |
 | Warren Colburn - Algebra - 1828 - 286 pages
...common denominator. It has been shown above that if both numerator and denominator be •nultiplied by the same number, the value of the fraction will...and those of the second by 5, the fractions become f £ an(^ H. They are now both of the same denomination, and their numerators may be added. The answer... | |
 | Warren Colburn - Arithmetic - 1828 - 186 pages
...It will be seen by the above section, that, if both the numerator and denominator be multi» plied 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... | |
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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... 
