( "3 ) 
which a is the reprefentative, from both, 
the dividend will be 6, and the divifor 2. I 
then fay, how often 2 in 6? the anfwer is 
3, as before. 
As to the Divifion of Algebraical Frac- 
tions, it is performed, as in Vulgar Frac- 
tions, by multiplying the numerators and 
denominators reciprocally, thus 
c\a fad a-\-b\ab(a zab + b* 
d)~b\7b' ^b)~~^r\ <t + ab 
The fecond example requires explanation. 
I begin by multiplying the Denominator of 
the Divifor by the Numerator of the Divi- 
dend, thus: a multiplied by a produces a a-, 
I write, in the product, one a with a fmall 
figure of two over it, which figure is called 
its index, fignifying the fecond power of #, 
or the produ6l of a multiplied by a. I then 
multiply the fame -{-a by b, and b by 
+ rf, both which produce ab, and the figns 
being diffimilar, I put down in the dividend 
of the quotient 2<ibi finally b multi- 
plied by b gives +^. I now multiply 
the numerator of the divifor by the deno- 
minator of the dividend, and the product is 
evidently the denominator of the quotient. 
Thus, I have endeavoured to give you a 
rational idea of Addition, Subtraction, Mul- 
H tiplication 
