Select parts of Saunderson's Elements of algebra : for the use of students at the universities.

  • Nicholas Saunderson
Date:
1776
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Licence: Public Domain Mark

Credit: Select parts of Saunderson's Elements of algebra : for the use of students at the universities. Source: Wellcome Collection.

    38/432 (page 28)
    and may be more properly expreffed by, the number 3 aften. as the numerator of a fraction contains the de- nominator, fo many units is that fraction equivalent - to: But to find how often the numerator contains the denominator, is to divide the numerator by the deno- minator; therefore if the numerator of an improper if nothing remains, will be the whole number by which the fraétion may beexpreffed ; but if any thing remains of this divifion, then the quotient, together with a fraction whofe numerator is that remainder, and denominator the divifor, will be a mixt num- ber, expreffing the fraction propofed. Thus 2 are equivalent to the whole number 8, but 23 are equi- valent to the mixt number 8 4, % to the mixt number 8 2, juftas 24 feet are “equal to 8 yards, a5 feet to 8 yards and 1 foot, 26 feet to 8 yards and of an improper fraction into. a whole or mixt num~ ber. ~ es oper Jaa 3. As unity may be expiettia by any fraction of any form or denomination whatever, provided the numerator be equal to the denominator, as Ghee ty fe; fo the number 2 is reducible to any fraction whole numerator is double the denominator, as oe &, £, &e; and fo is every number reducible to any fraction, whofe numerator contains the denominator as often as there are unitsin the number propofed: a whenever a whole number is to be reduced mbleplied, by that given denominator, and the pro- reduced