DECIMAL 
any, aod reduce the fum to the next ried Tpecies, ee 
to the number found the number o P 
the queftion; and thus proceed till on arrive at be pro- 
poles integer; 45. 7d. 3f. are equal to .2322916/, for 3 f. 
is 3, or .75 d. to which add 7d. and 7.75 is equal to —— fi 13, 
or .645833, &c. s. to which add 4s. and’ 4.045833 oe is 
4.645833 
ne to ——— » or 129229166 8 &e, U. 
et thefe, be the divifoys . the former 
: Begin — the upper one, and write the quo- 
tient of each divifion as fractions, on the right "of the divi. 
dend next below it; oe let this mixed number be meen 
by its divifor ; and the laft quotient will be the decima 
fought. Thus, for the lat sca a 487d. 3f. 
217-75 
20/4. 645833, & 
.23229166, “Ke. 1, the number required. 
The fame procefs may be eafily applied to the ries parts 
of any other integer, as weights, meafures, and 
£,.G.1. Reduce 8 oz. 15 dwe. 18 gr. to the [aon part 
of oy. . 
7875 
oO. 732291 Ib., the anfwer required. 
Notew—As 24 is too great a number to divide by in 
line, it is broken into the parts 4 and 6, which saalephed 
together, make 24 
£,G.2. Reduce 48’ 17" 53’ to the proportional part of a 
degree. 
60153 
Oo}t 7.883333 
60|48.2980 
0.804967 deg., the anfwer required. 
The common operations in decimals are performed as in 
the vulgar rules, regard being had only to the particular no- 
ita to diftinguifh the integral frow the fraGional part of a 
oe Addition and Subiradion of Decimars; the points 
being all placed ps each nie the co are to a added, 
and fubtracted, in common arithmetic; and when the 
operation Is in, fo many fatiees of the fum, or ects re= 
mainder, are to be noted for decimals, as there are places of 
decimals in the greateft given numbers. An example will 
make this clear. 
Addition of Decimals, Subtra€tion. 
43791] 59.277 | From 67 .9 
792 {15.040 | Take 29 8754 
-6124 | 3.791 Rem a8 S 
2053 {12.009 em. 38 .024 
2 75 From a5. 1462 
os Take 13%.07 
2.1953i197-611 ff Rem, 12 .0762 
2 
For Te ot de at of Decimars, obferve to cut off jut 
fo many decimal parts from the produ as there are decimals 
in both fa eon: The work is the fame as in integeraé 
Thus, ; 
Multiplication of Decimals. 
1472 365 3.650 
“175 122 62t 
7360 - 730; 3 650 
10304 733 73 90 
1472 365 |2190 0 
60257600] .04453012266.650 
Note. In the firft and pe examples, the products 
only amount i fix and five places ; for which reafon cyphers 
= Dae make up the punks of decimal places in the 
Clively. 
places of the dividen 
er a 22)8.030(.365 
66 66 . 
perenne weet es 
143 1 43 
__.¥32 1 32 
| nme ee 
110 I 10 
IIo I 10 
_ od a’ 
20 ie 
22).8030(.0365 73.2(83.219(1.13 
56 73 
I42 100 I 
132 72 2 
110 26 99 
110 21 96. 
me 
Hence, to divide a decimal by unity with any number of 
cyphers, is only to remove the aa aratrix fo many places t 
the left, as oes are eee an 
But there are certain cafes in v divid ion of decimals, whick 
require fome farther management ; as, firft, where the divi- 
foris a decimal fra&tion, and ve dividend is an integer ; add, 
ore cyphers to the “dividend, 
00c(60.2 
an 
as there are places in t ae aivifor ; ; thus, 36.5 )22.0000(6.02. 
Thirdly, Wherever the a is bigger than a rarer 
annex olen s to the latter ; 
- -g6.5)22. eee en. 
For 
