JB/135/079/003

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that species lower species
and if there is a remainder
proceed as before still
reducing and dividing till
you come to the lowest
species and the several
quotients will the remainder
(if any) which is
always the numerator of
a fraction of the lowest
species are the answer.

If the fraction to
be valued be an improper
one divide the numerator
by the denominator and
the quotient is a integer
of the same species with
the fraction.-

In order to prepare fractions
for addition or subtraction
all compound fractions
must be reduced to single
ones and if they are of
different denominations
they must be brought
into the same denomination
and reduced so as
all fractions shall have
one common denominator -

Add together all the
numerators for a new
numerator under which
subscribe the common
denominator -

The fractions being
prepared as before directed
in addition then,

Subtract one numerator
from the other and
their difference will be
a new numerator under
which subscribe the
common denominator -

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To prepare fractions
for either multiplication
or division reduce
compound fractions to
single ones; being mixed
numbers into improper
fractions and express
whole numbers fraction-
wise also reduce fractions
into their lowest
terms then

Multiply the numerators
into one another
for a new numerator
and the denominators
one into another for a
new denominator.-

The fractions being
prepared as directed for
multiplication; division
may be thus performed.

Multiply the number
of the dividend into the
denominator of the dividing
fraction for a numerator
and denominator
together for a
new denominator -

If the divisor and
dividend have both
the same denominator
the quotient may be
found by dividing one
numerator by another.

If the numerator
and denominator of the
dividend can be divided
without a remainder by

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by the numerator and denominator of the divisor their quotients will answer the question- If a number can be found that will divide both the numerators or both the denominators (viz those of the divisor and division and dividend) without a remainder; use those quotients instead of the given numerators and denominators which will give the result in the lowest terms -

Identifier: | JB/135/079/003"JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	079	Info in main headings field	vulgar fractions
Image	003	Titles
Category	private material	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	1798
Marginals		Paper Producer
Corrections		Paper Produced in Year	1798
Notes public		ID Number	46197
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