( io8 ) 
This product proves, not only that Mul- 
tiplication and Divifion are the reverfe of 
each other; but that the Quotient was juft. 
According to the plan I have obferved in 
Addition, Subtraction, and Multiplication, 
we now proceed to the Divifion of Vulgar 
Fractions. Firft, let us try to divide a frac- 
tion by a whole number. 
Divide 4- by 3. Now a moment's reflec- 
tion tells me, that I have nothing to do with 
the denominator, which is put not to indi- 
cate the number but the kind of parts : there- 
fore I muft divide the numerator 6 by 3 
and the quotient will be -. We will, by 
way of illuftration, fuppofe this denomina- 
tor to indicate parts of a guinea. Now, 7 
times 3 is 215 therefore, one feventh of a 
guinea is 3 (hillings: 6 times 3 make 18; 
therefore 4- of a guinea are 18 {hillings, that 
is, tf. I now afk, how often 3 (hillings in 
1 8. The anfwer is 6 (hillings or \ of a 
guinea. 
Let us now try to divide a fraction by a 
For example, Divide ^ by 4. 
This is the rule : Multiply the Numerator of 
the Dividend by the Denominator of the Divi- 
for, for a new Numerator ', and the Denomma- 
S tor 
