Alegbra 2

1. Aug 15, 2010

priscilla98

1. The problem statement, all variables and given/known data

Express in simplest form.
1/2 – 4/d divide by 1/d + 3/2d

2. Relevant equations

LCF

3. The attempt at a solution

I know the LCD is 2d. But would you multiply this to the equation

2. Aug 15, 2010

danago

You can multiply it as long as you do it to the numerator and the denominator. i.e.:

$$\frac{\frac{1}{2}-\frac{4}{d}}{\frac{1}{d}+\frac{3}{2d}} \times \frac{2d}{2d}$$

Also, what you have there isn't really an equation. It is only an equation if there is an equals symbol somewhere.

3. Aug 15, 2010

priscilla98

Okay, but if you multiply the LCD which is 2d would you multiply 2d to 1/2, 4/d, 1/d and 3/2d

If so, i got 2d/4d - 8d/2d divided by 2d/2d^2 + 6d/2d^2, is this right?

4. Aug 15, 2010

danago

Yes you do multiply 2d by 1/2, 4/d, 1/d and 3/2d, but im not quite sure what you have done there.

$$\frac{1}{2}\times 2d = d$$
$$\frac{4}{d}\times 2d = 8$$
$$\frac{1}{d}\times 2d = 2$$
$$\frac{3}{2d}\times 2d = 3$$

5. Aug 15, 2010

priscilla98

Okay, i understand now. The final answer is d - 8/ 5, thanks a lot

6. Aug 15, 2010

danago

Yes, that is correct

As a side note, you should probably try to pay more attention to use of brackets. d-8/5 could be interpreted as d-(8/5) or as (d-8)/5, which are two completely different expressions.