# Math Help - Simplifying Fraction

1. ## Simplifying Fraction

Hey all I'm new here and a bit green with my algebra, could somebody show me step by step how to answer this question on simplification?

$(2/y - 1/xy)/(4/x)$

its been annoying me for a while and i havent found a solution on how to do it.

Mitch

2. Step 1: get common denominator and combine the two fractions in the parentheses: (2/y- 1/xy)(4/x)= (2x/xy- 1/xy)(4/x)= ((2x-1)/xy)(4/x)

Step 2: multiply the two fractions: (4(2x-1))/x^2y which can also be written (8x-4)/x^2y by multiplying the "4" inside "(2x-1).

3. Originally Posted by HallsofIvy
(2/y- 1/xy)(4/x)

That is (2/y- 1/xy) / (4/x) u mean?

thanks for the response

4. I haven't done simplification in a while, so forgive me if I'm wrong..

(2/y-1/xy)/(4/x) = x(2/y-1/xy)/4 = (2x/y - x/xy)/4 = (2x/y-1/y)/4 = (2x-1/y)/4 = (2x-1)/4y

That as simple as you need it?