2 / 5 / x + 4
Having trouble solving this problem and have no clue where to start. I'm trying to eliminate any fractions in the denominator.
Couln't figure out how to format this right so I just have it typed out. It's 2 divided by 5 over x + 4
2 / 5 / x + 4
Having trouble solving this problem and have no clue where to start. I'm trying to eliminate any fractions in the denominator.
Couln't figure out how to format this right so I just have it typed out. It's 2 divided by 5 over x + 4
Use \dfrac for a fraction: $\displaystyle \dfrac{2}{5x+4}$
However, I see no imaginary part and hence no complex number here. That form is the simplest it's going to get since you can't eliminate x from the denominator.
What are you hoping to achieve?
EDIT:
Assuming you mean $\displaystyle \dfrac{2}{\left(\frac{5}{x+4}\right)}$ then recall that dividing by a fraction is the same as flipping and multiplying it. Thus $\displaystyle \dfrac{2}{\left(\frac{5}{x+4}\right)} = 2 \times \dfrac{x+4}{5}$ which has no x in the denominator.
$\displaystyle \displaystyle \frac{2}{ \frac{5}{x + 4}}$ Is this it?
Like any other complex fraction you need to clear the fraction out of the denominator by multiplying the top and bottom of the fraction by the factor that clears the denominator.
$\displaystyle \displaystyle = \left ( \frac{2}{ \frac{5}{x + 4}} \right ) \cdot \frac{x + 4}{x + 4}$
$\displaystyle \displaystyle = \frac{2(x + 4)}{ \frac{5}{x + 4} \cdot (x + 4)}$
You finish up from here.
-Dan
Having trouble understanding how we went from $\displaystyle \displaystyle = \frac{2(x + 4)}{ \frac{5}{x + 4} \cdot (x + 4)}$
to Platos
$\displaystyle \dfrac{2}{5x+20}$
Did you cross multiply to cancel out the x + 4 in the denominator and the numerator. Then just distribute the 5 to the remaining x + 4?