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Vulgar Fractions
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 the 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 
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 the other and denominato
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
page break
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.



135 

079 
vulgar fractions 

003 

private material 
2 

recto 

sir samuel bentham 
1798 

1798 

46197 
