( no ) 
But all this does not explain the rule : for 
you fee that we have done without it. The 
rule, you know, is, to multiply the nume- 
rators by the denominators reciprocally. 
Now what is this, but reducing the two 
fractions to one denomination, and then 
dividing the greater numerator by the lefs ? 
So that after all, this multiplication is merely 
the inftrument for reducing the two frac- 
tions to a common denomination, and not 
an actual divifion. 
But to prove that our quotient is juft, we 
will try whether, when multiplied by the 
divifor, the product will be the dividend. 
15 14 30 10 $ 
_______ C^Ji. L>. 
J: J. 42 H 7. 
30 42 
The Divifion of Decimal Fractions dif- 
fers from the divifion of whole numbers 
only in the art of pointing off the figures in 
the quotient: and the rule is- Point off in 
the quotient as many figures, counting from 
the right hand, as the number of decimals 
in the dividend exceeds thofe in the divifor. 
In other words : the number of decimals in 
the quotient and divifor, muft together, 
equal the number of thofe in the dividend: 
con- 
