Simplify a Complex Fraction 1/(1/x+1/y)

This video explains two methods to simplify a complex fraction.

[luckyh]

3 comments~ Thanks so much! I can't believe I forgot multiplying by 1 (xy/xy). I haven't 'mathed' in years...I can't believe how much I forgot. I think this simple algebra?

I was trying to figure out capacitors in series, I saw the equation for 2 in series was '(c1*c2)/(c1+c2) and then more than 2 was given as 1/((1/c1)+(1/c2)+(1/c3)+...) i knew the equation was the same but for the life of me i couldnt remember why or figure out why

[whiteink]

Thank you so much! I keep seeing this in my school and can't seem to solve it.