 | Nicholas Saunderson - Algebra - 1761 - 438 pages
...versa. Thus -f are twice as much as Tt and 4- is but half as much. From this principle it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided by the fame number, the value of the fraction will not be affecr.ed thereby ; becaufe, as much as the fraction... | |
 | William Nicholson - Natural history - 1809 - 716 pages
...will not be altered. For — "A i -4-o A . ab = + 6= -j ; and = — b = — a -fa ' — a — at a If the numerator and denominator of a fraction be both multiplied, or both divided by the same quantity, its value is not altered. For •fa . arwz ry lie 6" a tic z be' Hence, a fraction is reduced... | |
 | John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...the value of the fraction will be diminished or increased proportionably. Whence, it follows, that if the numerator and denominator of a fraction be...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. A... | |
 | William Nicholson - Arts - 1819 - 432 pages
...value will not be altered. For — a4 +a4 ab = + 4 =-$ ; and — = — 4s» — a + a — a — ab. If the numerator and denominator of a fraction be both multiplied, or both divided, by the same quantity, its value is not altered. For ac a. iurvz y — =T; and ^ ==-?. be o ate* be Hence, a fraction... | |
 | Silvestre François Lacroix - Arithmetic - 1821 - 160 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... | |
 | 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... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...will represent the value of the fraction y, or the quotient of the division of a by b. • b * * 118. If the numerator and denominator of a fraction be both multiplied, or both divided by the same quantity r, its value will not be, altered. For, if we multiply by m the two members of the equality... | |
 | Charles Tayler - 1824 - 350 pages
...by the same number. For it follows from this, that if the numerator and denominator of a fraction be both divided by the same number, the value of the fraction will be •equally unaltered. This will appear more clear by means of the general fortnula ^ ; for, by dividing... | |
 | 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 - 1825 - 400 pages
...Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. Arith. Art. XIX. For, multiplying the numerator multiplies the fraction, and multiplying the denominator... | |
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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
