| 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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