What is (x/3-6)/(10+4/x) ?

The solution to (x/3-6)/(10+4/x) is ((-18+x)x)/(3(10x+4))

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simplify (x/3-6)/(10+4/x)

simplify

\frac{\frac{x}{3} - 6}{10 + \frac{4}{x}}

\frac{( - 18 + x ) x}{3 ( 10 x + 4 )}

Solution steps

\frac{\frac{x}{3} - 6}{10 + \frac{4}{x}}

Join

\frac{x}{3} - 6 : \frac{- 18 + x}{3}

= \frac{\frac{- 18 + x}{3}}{10 + \frac{4}{x}}

Join

10 + \frac{4}{x} : \frac{10 x + 4}{x}

= \frac{\frac{- 18 + x}{3}}{\frac{10 x + 4}{x}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( - 18 + x ) x}{3 ( 10 x + 4 )}

\frac{7}{6} - \frac{7}{8}

z^{- 2}

π \cdot 0. 5^{2}

(7 + 5) (7 - 5)

cos (- x) sin (- x) sec (- x)

What is (x/3-6)/(10+4/x) ?
The solution to (x/3-6)/(10+4/x) is ((-18+x)x)/(3(10x+4))