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

(9)÷(54)×(79)×(−5)÷(72)

(1 point)
Responses

8
8

−8
negative 8

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

−1,2258

1 answer

To solve the expression \((9) \div (54) \times (79) \times (-5) \div (72)\), we can perform the operations step by step according to the order of operations.

  1. Calculate \(9 \div 54\): \[ 9 \div 54 = \frac{9}{54} = \frac{1}{6} \]

  2. Now take that result and multiply it by \(79\): \[ \frac{1}{6} \times 79 = \frac{79}{6} \]

  3. Next, multiply by \(-5\): \[ \frac{79}{6} \times (-5) = \frac{79 \times -5}{6} = \frac{-395}{6} \]

  4. Finally, divide by \(72\): \[ \frac{-395}{6} \div 72 = \frac{-395}{6} \times \frac{1}{72} = \frac{-395}{432} \]

This simplifies to: \[ \frac{-395}{432} \]

Now assessing the provided responses, we have:

  • 8
  • −8
  • 1,2258 (not a standard way of writing a fraction, looks incorrect)
  • −1,2258 (similarly, not a standard way of writing a fraction)

The correct result derived from the calculations is not present among the answers listed.

Thus, the solution to \((9) \div (54) \times (79) \times (-5) \div (72)\) is: \[ \frac{-395}{432} \]