 | Nicholas Saunderson - 1761 - 438 σελίδες
...proportion ; and vice 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...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 - 1809 - 716 σελίδες
...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... | |
 | William Nicholson - 1819 - 432 σελίδες
...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 - 1824 - 542 σελίδες
...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 σελίδες
...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... | |
 | George Lees - 1826 - 276 σελίδες
...and retain the same denominator ; or multiply the denominator, and retain the same numerator. Hence it follows, that if the numerator and denominator of a fraction, be either both multiplied, or both divided by the same number, the value of the fraction will remain unchanged.... | |
 | Bewick Bridge - 1828 - 260 σελίδες
...conclusion; which will be equally true, whatever be the number of divisions in the operation. 136. Hence it follows, that if the numerator and denominator of a fraction be prime to each other, there can exist no other equal fraction having its numerator and denominator respectively... | |
 | 1832 - 406 σελίδες
...which the rules most materially depend, is the following : If the numerator and denominator be either both multiplied or both divided by the same number, the value of the fraction is not altered. For example, take £ and multiply its numerator and denominator by 4, which gives -JJ-.... | |
 | James Ryan, Robert Adrain - 1835 - 388 σελίδες
...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),... | |
 | Richard Mosley - 1836 - 164 σελίδες
...expressed like a fraction by putting 1 under it for a denominator : thus - is the same as 6. REDUCTION. 26. If the numerator and denominator of a fraction be...both multiplied, or both divided by the same number, its 2 2X2 4 value is not altered ; thus - = - — - = -, as will be О о X * D evident by referring... | |
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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. 
