JB/135/079/002

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To reduce a compound
fraction into a single one.

Multiply all the numerators
together for a
numerator and all the
denominators for a the
denominator.-

If a numerator of one
term is a compound fraction to
be equal to a denominator
in another term
reject both and divide
those numerators and
denominators which are
divisible by each other or
by the same number,
which quotients multiplied
into the remaining numerators
& denominators, reduces
the compound fraction to a
single one in its lowest terms.

To reduce mixed numbers
and integers into improper
fractions, I shall divide
this case into three parts -

1. If the integer have no an
assigned denominator,-

Multiply the integer
by the assigned denominator.
the product is the numerator
to the assigned denominator:-

2. If the integer has no
assigned denominator. -

An unit subscribed must
be the denominator.-

3. If the integer have a
fraction annexed,

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.

To reduce the improper
fraction into its equivalent
whole or mixed number,

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

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To reduce fractions into their lowest denomination If the numerator and denominator are even numbers take half the one and half the other; and when either of them is an odd number divide them by any number that will divide both numerator and denominator without any remainder - Or by finding the greatest common measure by the following rule,- Divide the greater number by the lesser and that divisor by the remainder & so on continually till there be no remainder left. This will be the last divisor be the greatest common measure and if it be 1 then are they prime numbers & are already in their lowest terms: but if otherwise divide the numbers by the last division and their quotients will be their least terms required. - T alter or change different fraction into one denomination retaining the same value 1. Multiply all the denominators into each other for a new and common denominator, and each numerator into all the denominators but its own for a new numerator.

Identifier: | JB/135/079/002"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	002	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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