If 1/(1+1/(1-1/x)) = 4, what is the value of x?

If 1/(1+1/(1-1/x)) = 4, what is the value of x?

Here is the question :

IF 1/(1+1/(1-1/X)) = 4, WHAT IS THE VALUE OF X?

Here is the option for the question :

  • 3
  • 7
  • -3
  • 3/7

The Answer:

And, the answer for the the question is :

3/7

Explanation:

[STC0014470]. In order to solve this problem, you must first take the reciprocal of both sides, which involves inverting the fraction. This will change the equation so that it reads as follows: 1+1/(1-1/x) = 1/4. Take out 1 from both of them, giving you 1/(1-1/x), which is -3/4. Applying the reciprocal once more results in the equation being rewritten as 1-1/x = -4/3. Simply by adding 1/x and 4/3 to both sides of the equation, we can rewrite it as 1 + 4/3 = 1/x. Alternatively, this can be expressed as 7/3 = 1/x. Obtain the answer 3/7 = x by performing the reciprocal operation one more time.

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