Which expression is equivalent to the following complex fraction?

last option.

Step-by-step explanation:

- Subtract the fractions that are in the numerator.

- Add the  fractions that are in the denominator.

Then:

- Multiply the numerator of the fraction on the top by the denomianator of the fraction on the bottom.

- Simplify.

Then:

The correct answer is last option

Step-by-step explanation:

It is given that,

(1/x - 1/y)/(1/x +1/y)

To simplify (1/x - 1/y)

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

To simplify (1/x - 1/y)

1/x + 1/y = (y + x)/xy

To find equivalent expression

(1/x - 1/y)/(1/x +1/y = [(y - x)/xy]/[(y + x)/xy]

 = (y - x)*xy/(y +x)*xy = (y - x)/(y + x)

Therefore the correct answer is last option

56

step-by-step explanation:

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step-by-step explanation: