# Algebraic Fractions

• May 9th 2011, 03:24 AM
JanoD
Algebraic Fractions
I'm working from an algebra workbook and one of the questions has me stumped.

Picture: First one is the correct answer, and the second one is the one I thought it would be.

http://iforce.co.nz/i/fqajpwcj.yuh.png

Why am I wrong?
• May 9th 2011, 03:35 AM
Plato
\hat{\jmath}
Quote:

Originally Posted by JanoD
I'm working from an algebra workbook and one of the questions has me stumped.
Picture: First one is the correct answer, and the second one is the one I thought it would be.
http://iforce.co.nz/i/fqajpwcj.yuh.png
Why am I wrong?

Because $\frac{3-2x}{2}=\frac{3}{2}-\frac{2x}{2}.$
• May 9th 2011, 03:36 AM
bugatti79
Quote:

Originally Posted by JanoD
I'm working from an algebra workbook and one of the questions has me stumped.

Picture: First one is the correct answer, and the second one is the one I thought it would be.

http://iforce.co.nz/i/fqajpwcj.yuh.png

Why am I wrong?

You must use this rule for algebraic substraction

$\displaystyle \frac{a-bc}{b}=\frac{a}{b}-\frac{bc}{b}=\frac{a}{b}-c$
• May 9th 2011, 03:39 AM
JanoD