 | 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...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... | |
 | 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... | |
 | 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... | |
 | James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...have Thus v will represent the value of the fraction-, or the quotient of the division of o by b. 118. If the numerator and denominator of a fraction be both multiplied, or both divided by the same quantity, its value will not be altered. For, if we multiply by m the two members of the equality (1),... | |
 | George Leonard (Jr.) - Arithmetic - 1839 - 362 pages
...whut fraction do you get ? What is said of its value and form ? What if the denominator and numerator of a fraction be both multiplied, or both divided by the same number? What if both be divided by the same number, without a remainder ? To It performed in the. mind. 1.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...çj гs = one half °f т , ап& generally that =- is a m times greater than — =mb 1 If the terms of a fraction be both multiplied, or both divided, by the same quantity, its value is unchanged.1 For if the numerator be increased я times, the fraction is also... | |
 | William Foster - 1840 - 92 pages
...dividing the denominator, and divided by dividing the numerator : thus ^ x 3=^- : and 4-i-3=£. 4 . If the numerator and denominator of a fraction be both multiplied or divided by the same quantity, the value of the fraction is not altered : thus r=sr : for (Lem, l) when... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...numerators and the denominators of its constituent simple fractions. 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... | |
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If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. 
