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Simplify the complex fraction:​ (7)/((1/x)+(1/y)).


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Final answer:

To simplify the complex fraction, multiply the numerators together and multiply the denominators together. Combine like terms in the denominator to further simplify the expression.

Step-by-step explanation:

To simplify the complex fraction, you can create a common denominator by multiplying x and y. The expression then becomes 7(xy) / (y + x). Multiplying the numerators together gives 7xy, while multiplying the denominators gives yx + xy. Combining like terms in the denominator gives 2xy, so the simplified complex fraction is 7xy / 2xy.

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