# Simplifying fraction over fraction expression

• Oct 17th 2010, 01:24 PM
Jodles
Simplifying fraction over fraction expression
Hi!

In physics I derived the following expression, and I have no idea where to start simplifying it:

$\displaystyle R_v = \frac{\frac{R_1 V_x}{E-V_x}R_2}{R_2 - \frac{R_1V_x}{E-V_x}}$

The lot in brackets is the same expression, so my hunch tells me this could be written much simpler? Or could it?

Jodles
• Oct 17th 2010, 01:30 PM
Also sprach Zarathustra
R_v={R_1V_xR_2}/{R_2{E-V_x}-R_1V_x}
• Oct 17th 2010, 01:30 PM
skeeter
Quote:

Originally Posted by Jodles
Hi!

In physics I derived the following expression, and I have no idea where to start simplifying it:

$\displaystyle R_v = \frac{\frac{R_1 V_x}{E-V_x}R_2}{R_2 - \frac{R_1V_x}{E-V_x}}$

The lot in brackets is the same expression, so my hunch tells me this could be written much simpler? Or could it?

Jodles

multiply numerator and denominator by $\displaystyle (E-V_x)$
• Oct 17th 2010, 02:27 PM
Jodles
Thank you very much! (Nod)