2/[(1+x)/x] =

2x/(x+1).

of the fraction 2/(1/x)

2 is the numerator

1/x is the denominator

multiply each by x hence

2x/(x/x) = 2x/1 = 2x

Multiplying both the numerator and denominator does not change the value of a fraction.

x*(1/x)=x/x=1

…. 2

————–

[(1/x) + 1

If you multiply both the numerator and the denominator by “x”… you will get that answer… like this…

…… 2 ………….. (x)

= ————– * —-

… [(1/x) + 1]…. (x)

(the next step is to “distribute” the “x” in the denominator to both the 1/x and the 1… so that you get…)

….. 2x ….

= —————-

…. (1/x)(x) + (1)(x)

……. 2x

= ————-

….. (1 + x)

When you multiplied the numerator by “x”… and the denominator by “x”…. you were multiplying the given complex fraction by x / x …. which is the same as “1”

Do you see it now?

Hope this helps!!! :o)