What is (502)/(3x+(502/3 x-10000)) ?

The solution to (502)/(3x+(502/3 x-10000)) is (502)/(511/3 x-10000)

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simplify (502)/(3x+(502/3 x-10000))

simplify

\frac{502}{3 x + ( \frac{502}{3} x - 10000 )}

\frac{502}{\frac{511}{3} x - 10000}

Solution steps

\frac{502}{3 x + ( \frac{502}{3} x - 10000 )}

Apply rule:

a + (b + c) = a + b + c

3 x + (\frac{502}{3} x - 10000) = 3 x + \frac{502}{3} x - 10000

= \frac{502}{3 x + \frac{502}{3} x - 10000}

Simplify

3 x + \frac{502}{3} x - 10000 : x \frac{511}{3} - 10000

= \frac{502}{x \frac{511}{3} - 10000}

= \frac{502}{\frac{511}{3} x - 10000}

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What is (502)/(3x+(502/3 x-10000)) ?
The solution to (502)/(3x+(502/3 x-10000)) is (502)/(511/3 x-10000)