Question

Factor -1/3 out of 1/3y-3/2 please help

Answer 1

Greetings!

When factoring, you are essentially dividing the GCF by all the terms.
So to factor out -1/3 from the binomial, we divided it all of the terms by -1/3:

First Term:
$\frac{1}{3}y/-\frac{1}{3}$
$=\frac{1}{3}y*-\frac{3}{1}$
$=-3/3y$ 
$=-1y$

Second Term:
$=-\frac{3}{2} / - \frac{1}{3}$
$=-\frac{3}{2} * - \frac{3}{1}$
$=\frac{9}{2}$

The factored polynomial result would be:
$(-\frac{1}{3})(-1y+\frac{9}{2})$

Hope this helps.
-Benjamin