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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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S R
astigne Denominator, and set rhe PFoduct over (3)
and ris done, and sands chuS 24, For che Num-
ber 8 is Mulriplicd by 3, and chien chai Product
Divided by 3, Whict matces ic oF etre same Va
lue nou 25 betore.
V. 20 Reduce an Improper Fraction into it.
equivalent misd Number, as suppese .
Bivide (39) ihe Numerator, bY (12) che Deno
inator; the Ouorienc (+1=). Will be elie mix
Number Couslrr.
VI. T0 Reduce a Compound Praction into e
Sinsle one.
Mculcipli alI Ehie. PFumerators Cottinually Cor
heto NuIeratOr, anet all che Denoiminators Cor:
riew Denominatot.
Thus  oF = oF 5 reduced, Will be L l.
VII. T0 Reduce Fractions of different Denomina
tions, 10 otbeis os ehe same Value; havins ehse sam
common Denominator.
1. Reduce them alvays 20 Meir leaAt Ferrus.
2. Tleh Mulciply Ill elie Denoininaiors tor
comimon Denominator; and Mulciply continuaIII
ste Numetaror of each l’raction ineo allctie Deno
ininatOrS, excepe ses oon, and chac, ill sire nem
NumetatotS, 10 bC let orer che commion Denorii
natot.
Thus, Il il vas requir d eo Reduce:, and , anc
 int ore Common Denominator.
I Car, 3 inco 7, ino 6; produces 126, E0F 3
COIHON ExnOMINATOE.
TheH, 2 X 7 X 6 = 84. Merelore; = 1 7.
And 3X 4 X 6 = 73, cheretore = = 1 24
AIIO 5X 7X 3 = 105, CheretOrC 3 = 1 5
Addition in VulsaE FractionS.
1. s che Fractions proposed have equal Denomina
cors, only add che Nuimetators, and sei che Sum
orer elie cornimon Denominatoi.
THS 1  16 = 1
2. BuE iF chey HaVE HOE L COmMOn DenOmINATOE
eher must De Reduced ro orters oF che lame Valre
etiat have a commion Denomminaroe; ehen add as ix
Ehe Arst Rulc.
3. IF Compound Fractions are siven 1o be adcec
cher must sest be reduced ro sinsle ones oF the lame
atue, and etren eey wilt FaII incer chele ewC
Autes Torexoinz.
4. Irtien Fractions ot differene Denoiniriatione
are siren eo be added; thes must De reduced inte
Fractions os che Patrie Denominacion, Cor wlrict
have hc Tame common Inces er) by che Rule FO
Reducins Componnd Fractions.
Thus, il SoE a Poind, = ot a Shiltine, and 2
et a Fenny, vere proxoled 1o be added iogertier;
es cere alt ve roes e pras tes boerome aon 
oncretei
Etius _ ot a SMillitis i5 ot, 3 oE a Ponnu
(Wuseh reduccdisot a Pouta). 503 ot a Pen
and . may beaddes  alo
5. 20 add Mixe d Nambers.
1. Add che lirepeis in Bort Numibers rogecher.
ehen add che Fractional parrs, and il their sum be
a Proper Fraction, oils annex it tortie Sum ot rtie
Inregers.
eo its equiralene MIX a , a au 
Incegral part co che fiest Suni ot etie Integers, le
che remainins Fractional pase aliex rhe HICBCtS
Suberaction os Vulsar FractionS.
t. IF ctiey hare a common Denominator, Subetact
the lesser Pumerator trom che srearer, and set che
Remmainder over ttie common DenominiOF.
Thus, Tromstake,5, and chere renixins. 7
2. IF etes HarC NOE a COIMHON DEnOMLInALOES
ihermust be redtuced to Fractions ot che Lame Va
lue, havins a COMMOM Denominator ; anet itien as
in chC YH Rulo-
FIuIS, 5  3 = 35  38 = 55.
3. Fo Subrract a whole Humber Frohe a mixe
Tumber, or one mix d Number troin another.
Reduee ehie wtole or mix d Numbers co limipro
per Fracturto, dien procced as in che +A Or 2d
UId.
ricular futes, wtrict in lorse cales are mOtE
Expedirious; asoo
Partieulat Rules.
1. Fo Subrraet a Mhole Numibes srom e. Mint.
Suberact ehe Whole NumBex Rom etie Incesrat
PATI DE EhC Min d Numbee; etreo 10 chC Remain-
der, aunex ete Fractional parc ot isse mis d Num.
bet
Thus, 3 FCOm 5 = leares 2;.
2. Fo Suberact a Praction from L or Enit.
Subrraet the DTumeratox from the Denominaror
and place che Remaindex orer ilie Denoninator,
and eis done.
Thus, = Hrom 1 leaves :
3. To Suberact a Fraction fromi any nhole  sot
Sreater than Duisy.
Suberact che Fraction Erom Units (By 2d) cteri
From che wtiole Number siren Suberaet chat Onir
and place che remainine Inteser belore, and che
Fractional part (hrst soine) alter. ii S0 Mall pha
mix d Numiber beche Remainder TouBHi.
  i
ny i5 3 o(= + ot, ot a Pound, (which beins re
and tisdone
duceds is  Then chele wo fractions 2
2. Buc. is ic be an Tniptopet Fraction, reduce il
Ttus53 - 4 3 = 105.
N. B. This Rute iS General; ver rtiere are Par.