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Use the properties of operations and rules for multiplying and dividing to solve:

(9)÷(5/4)×(7/9)×(−5)÷(7/2)

(1 point)
Responses

−8
negative 8

−1,2258
negative Start Fraction 1,225 over 8 End Fraction

8

1,225/8

1 answer

To solve the expression \((9)÷(5/4)×(7/9)×(−5)÷(7/2)\), we can simplify it step by step.

  1. Start with dividing \(9\) by \(\frac{5}{4}\):

    \[ 9 ÷ \frac{5}{4} = 9 × \frac{4}{5} = \frac{9 × 4}{5} = \frac{36}{5} \]

  2. Now, we multiply \(\frac{36}{5}\) by \(\frac{7}{9}\):

    \[ \frac{36}{5} × \frac{7}{9} = \frac{36 × 7}{5 × 9} = \frac{252}{45} \]

  3. Next, we simplify \(\frac{252}{45}\):

    \[ \frac{252 ÷ 9}{45 ÷ 9} = \frac{28}{5} \]

  4. Now multiply \(\frac{28}{5}\) by \(-5\):

    \[ \frac{28}{5} × (-5) = -\frac{28 × 5}{5} = -28 \]

  5. Finally, we divide \(-28\) by \(\frac{7}{2}\):

    \[ -28 ÷ \frac{7}{2} = -28 × \frac{2}{7} = -\frac{56}{7} = -8 \]

So the final result is:

\(-8\)

Therefore, the answer is:

−8