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<head>Reductions of Decimals</head> | |||
<head>Case 1</head><lb/>To reduce a vulgar<lb/>fraction into a decimal< | |||
<head>Collectanea</head> | |||
<head>Reductions of Decimals</head> | |||
<head>Case 1</head><lb/> | |||
<p>To reduce a vulgar<lb/> | |||
fraction into a decimal</p> | |||
<head>Rule</head> | |||
<p>Annex cyphers to<lb/> | |||
the numerator, till it<lb/> | |||
be equal to, or greater<lb/> | |||
than the denominator;<lb/> | |||
then divide by<lb/> | |||
the denominator,<lb/> | |||
and the quotient will<lb/> | |||
be the decimal sought.</p> | |||
<head>Case II</head> | |||
<p>To reduce coins,<lb/> | |||
weights, measures &c<lb/> | |||
into decimals</p> | |||
<head>Rule</head> | |||
<p>Reduce the different<lb/> | |||
species into one, viz:<lb/> | |||
the lowest denomination<lb/> | |||
they consist of<lb/> | |||
for a dividend; then<lb/> | |||
reduce the integer into<lb/> | |||
the same denomination<lb/> | |||
for a divisor;<lb/> | |||
the result will be the<lb/> | |||
decimal required.</p> | |||
<head>Case III</head> | |||
<p>To reduce any decimal<lb/> | |||
into the equivalent<lb/> | |||
known parts of coin,<lb/> | |||
weight, or measure</p> | |||
<head>Rule</head> | |||
<p>Multiply the given<lb/> | |||
number by the number<lb/ | |||
of units contained in<lb/> | |||
the next inferior<lb/> | |||
denomination, cutting<lb/> | |||
off as many figures<lb/> | |||
from the product as<lb/> | |||
the given decimal consists<lb/> | |||
of; then multiply<lb/> | |||
the remaining <lb/> | |||
parts (if any) by the<lb/> | |||
next lower denomination,<lb/> | |||
cutting off as<lb/> | |||
before; and thus<lb/> | |||
proceed till you have<lb/> | |||
converted your decimals,<lb/> | |||
or come to the<lb/> | |||
lowest part; and<lb/> | |||
the several figures<lb/> | |||
to the left hand of<lb/> | |||
the separating points<lb/> | |||
will be the several<lb/> | |||
parts of the quantity<lb/> | |||
required.</p> | |||
<head>Case IV.</head> | |||
<p>To reduce a decimal<lb/> | |||
into its least equivalent<lb/> | |||
vulgar fraction.</p><pb/> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} | ||
Collectanea
Reductions of Decimals
Case 1
To reduce a vulgar
fraction into a decimal
Rule
Annex cyphers to
the numerator, till it
be equal to, or greater
than the denominator;
then divide by
the denominator,
and the quotient will
be the decimal sought.
Case II
To reduce coins,
weights, measures &c
into decimals
Rule
Reduce the different
species into one, viz:
the lowest denomination
they consist of
for a dividend; then
reduce the integer into
the same denomination
for a divisor;
the result will be the
decimal required.
Case III
To reduce any decimal
into the equivalent
known parts of coin,
weight, or measure
Rule
Multiply the given
number by the number<lb/
of units contained in
the next inferior
denomination, cutting
off as many figures
from the product as
the given decimal consists
of; then multiply
the remaining
parts (if any) by the
next lower denomination,
cutting off as
before; and thus
proceed till you have
converted your decimals,
or come to the
lowest part; and
the several figures
to the left hand of
the separating points
will be the several
parts of the quantity
required.
Case IV.
To reduce a decimal
into its least equivalent
vulgar fraction.
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Identifier: | JB/135/088/002"JB/" can not be assigned to a declared number type with value 135. |
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135 |
posology |
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088 |
collectanea |
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002 |
reduction of decimals / addition of decimals / subtraction of decimals / division of decimals |
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collectanea |
4 |
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recto |
[[page_numbering::f153 / / f152 [sic] /]] |
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46206 |
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