To solve the expression \((9)÷(5/4)×(7/9)×(−5)÷(7/2)\), we will follow the order of operations and simplify step-by-step.
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Divide by a fraction: \[ 9 ÷ (5/4) = 9 × (4/5) = \frac{9 × 4}{5} = \frac{36}{5} \]
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Multiply with the next fraction: \[ \frac{36}{5} × (7/9) = \frac{36 × 7}{5 × 9} = \frac{252}{45} \] Simplifying \(\frac{252}{45}\): \[ \frac{252 \div 9}{45 \div 9} = \frac{28}{5} \]
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Now multiply by -5: \[ \frac{28}{5} × (-5) = \frac{28 × (-5)}{5} = -28 \]
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Finally, divide by (7/2): \[ -28 ÷ (7/2) = -28 × (2/7) = \frac{-28 × 2}{7} \] Simplifying: \[ = \frac{-56}{7} = -8 \]
Thus, the final result is \(-8\).
The answer is \(-8\).