Hi,

as stated above, is there any difference between -2/(2x-3) and -(2/(2x-3))?

Thanks

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- Dec 27th 2012, 11:04 PMFailInMathsIs there any difference between -2/(2x-3) and -(2/(2x-3))?
Hi,

as stated above, is there any difference between -2/(2x-3) and -(2/(2x-3))?

Thanks - Dec 28th 2012, 12:37 AMchiroRe: Is there any difference between -2/(2x-3) and -(2/(2x-3))?
Hey FailInMaths.

There is no difference between the two expressions. - Dec 28th 2012, 05:32 AMSorobanRe: Is there any difference between -2/(2x-3) and -(2/(2x-3))?
Hello, FailInMaths!

Quote:

$\displaystyle \text{Is there any difference between }\,\frac{-2}{2x-3}\,\text{ and }\;-\frac{2}{2x-3}\,?$

As*chiro*pointed out, there is no difference.

Here is a baby-talk explanation.

Consider the fraction $\displaystyle \frac{\text{-}3}{4}$

Since "negative divided by positive is negative": .$\displaystyle \frac{\text{-}3}{4} \:=\:\text{-}\frac{3}{4}$

Consider the fraction $\displaystyle \frac{3}{\text{-}4}$

Since "positive divided by negative is negative": .$\displaystyle \frac{3}{\text{-}4} \:=\:\text{-}\frac{3}{4}$

So we have: .$\displaystyle \frac{\text{-}3}{4} \;=\;\frac{3}{\text{-}4} \;=\;\text{-}\frac{3}{4}$

My high school math teacher explained it like this:

A fraction hassigns: .$\displaystyle \pm\frac{\pm a}{\pm b}$*three*

. . the sign of the numerator, the sign of the denominator, and the sign of the fraction.

We can change*any*__two__

For example: .$\displaystyle \frac{-3}{4}$ is actually $\displaystyle {\color{green}+}\frac{{\color{green}-}3}{{\color{green}+}4}$

Change any two signs: .$\displaystyle {\color{green}+} \frac{{\color{red}+}3}{{\color{red}-}4}\;=\;{\color{red}-}\frac{{\color{green}-}3}{{\color{red}-}4} \;=\;{\color{red}-}\frac{{\color{red}+}3}{{\color{green}+}4}$

See?

- Dec 28th 2012, 05:41 AMSMADRe: Is there any difference between -2/(2x-3) and -(2/(2x-3))?
That's a good explanation reminds me of when I was back in 8th grade taking Algebra I.

- Dec 28th 2012, 06:53 AMFailInMathsRe: Is there any difference between -2/(2x-3) and -(2/(2x-3))?
Ic, thank you for the detailed explanation =)