What is ([\frac{-5)/(8\times (9/(7-(\frac{-8){5))})}]}{((-9)/(11))} ?

The solution to ([\frac{-5)/(8\times (9/(7-(\frac{-8){5))})}]}{((-9)/(11))} is 473/648

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simplify ([\frac{-5)/(8\times (9/(7-(\frac{-8){5))})}]}{((-9)/(11))}

simplify

\frac{\frac{- 5}{8 \cdot ( \frac{9}{7 - ( \frac{- 8}{5} )} )}}{( \frac{- 9}{11} )}

\frac{473}{648}

Solution steps

\frac{\frac{- 5}{8 ( \frac{9}{7 - ( \frac{- 8}{5} )} )}}{\frac{- 9}{11}}

8 (\frac{9}{7 - ( \frac{- 8}{5} )}) = 8 \cdot \frac{9}{7 - \frac{- 8}{5}}

= \frac{\frac{- 5}{8 \cdot \frac{9}{7 - \frac{- 8}{5}}}}{\frac{- 9}{11}}

Apply the fraction rule:

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

= \frac{- 5 \cdot 11}{8 \cdot \frac{9}{7 - \frac{- 8}{5}} ( - 9 )}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5 \cdot 11}{8 \cdot \frac{9}{7 - \frac{- 8}{5}} ( - 9 )}

Apply the fraction rule:

- \frac{- a}{b} = \frac{a}{b}

- \frac{- 8}{5} = \frac{8}{5}

= - \frac{5 \cdot 11}{8 \cdot \frac{9}{7 + \frac{8}{5}} ( - 9 )}

Multiply the numbers:

5 \cdot 11 = 55

= - \frac{55}{8 \cdot \frac{9}{7 + \frac{8}{5}} ( - 9 )}

8 \cdot \frac{9}{7 + \frac{8}{5}} (- 9) = - \frac{3240}{43}

= - \frac{55}{- \frac{3240}{43}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

\frac{55}{- \frac{3240}{43}} = - \frac{55}{\frac{3240}{43}}

= - (- \frac{55}{\frac{3240}{43}})

Apply rule:

- (- a) = a

- (- \frac{55}{\frac{3240}{43}}) = \frac{55}{\frac{3240}{43}}

= \frac{55}{\frac{3240}{43}}

Apply the fraction rule:

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

= \frac{55 \cdot 43}{3240}

Cancel

\frac{55 \cdot 43}{3240} : \frac{473}{648}

= \frac{473}{648}

5^{8} - 6561

- 38 + 12 + (- 18)

7 \div 5 - 11 \div 18 + 4 \div 27

- 12 + 20 \div (- 2)

(- 3) (- 2) + (- 3) (- 5)

What is ([\frac{-5)/(8\times (9/(7-(\frac{-8){5))})}]}{((-9)/(11))} ?
The solution to ([\frac{-5)/(8\times (9/(7-(\frac{-8){5))})}]}{((-9)/(11))} is 473/648