JB/135/089/002

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Collectanea for Posology

A circulet is a compound repetend

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Decimal fractions

1
In addition & subtraction, to place the
points of distinction
one under the other.

2
In Multiplication,
to separate with a
point so many places
of the product to
the right hand, as
there are Decimal
Places both in the
Multiplicand and
Multiplier; and if
there are not so many
places in the
product, then to add
cyphers to the left
hand, 'till there are
so many places

3
In Division, to separate
with a point
so many places of
the quotient to the
right as there are
decimal places in
the dividend more
than are in the divisor;
and if there
are not so many
places, then to add
cyphers to the left 'till
there are so many

4
And by adding cyphers
to the right
hand of the dividend
any lesser number
given may be divided
by a greater.

5
To reduce a vulgar
fraction to a Decimal
of the same
value — divide the
Numerator by the
Denominator and
the quotient will be
the Decimal Fraction
required

6
And to reduce a Decimal
fraction to a
Vulgar — multiply the
decimal by the Denominator
of the Vulgar
and the product will
be the vulgar fraction
required

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Reduction of Vulgar
Fractions.

Case. 1.

To reduce a compound
fraction into a single
one.

Rule.

Multiply all the numerators
into one another
for a numerator,
and all the denominators
into one another
for the denominator

Case 2.

To reduce mixed numbers
& integers into
improper fractions.
I shall divide this case
into three parts.

1. If the integer has
no assigned denominator.

Rule

An unit subscribed
most be the denominator.

2. If the integer have
an assigned denominator.

Rule.

Multiply the integer
by the assigned denominator,
the product
is the numerator
to the assigned
denominator.

3. If the integer have
a fraction annexed.

Rule

Multiply the integer
by the denominator,
and to the product
add the numerator;
the sum is the numerator
to the denominator
of the
annexed fraction.

Case. 3.

To reduce an improper
fraction into its
equivalent, whole, or
mixed numbers.

Rule.

Divide the numerator
by the denominator,
the quotient
gives the integer, &
under the remainder,
if any, subscribe
the denominator.

Case 4.

To abbreviate or reduce
fractions into their
lowest or least denomination.

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Identifier: | JB/135/089/002"JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings	posology
Folio number	089	Info in main headings field	collectanea for posology
Image	002	Titles	decimal fractions / addition of fractions / subtraction of fractions / multiplication of fractions / division of fractions
Category	collectanea	Number of Pages	3
Recto/Verso	recto	Page Numbering	f154 / / f157
Penner		Watermarks
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public	in two pieces (both stamped)	ID Number	46207
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