Question

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

(9)÷(54)×(79)×(−5)÷(72)

(1 point)
Responses

−8
negative 8

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

8
8

1,2258

Answer 1

To solve the expression \((9) \div (54) \times (79) \times (-5) \div (72)\), we will follow the order of operations while applying the properties of operations step by step.

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

2. **Multiply by 79**:
\[
\frac{1}{6} \times 79 = \frac{79}{6}
\]

3. **Multiply by \(-5\)**:
\[
\frac{79}{6} \times (-5) = \frac{79 \times -5}{6} = \frac{-395}{6}
\]

4. **Divide by 72**:
\[
\frac{-395}{6} \div 72 = \frac{-395}{6} \times \frac{1}{72} = \frac{-395}{432}
\]

Now we can simplify the fraction if necessary. The numerator \(-395\) and the denominator \(432\) do not have any common factors.

Thus, the final result is:

\[
\frac{-395}{432}
\]

In decimal form, this doesn't equate to any of the listed responses, and it can be approximated.

Calculating \( -395 \div 432 \) gives approximately \(-0.914\), which is also not among the options.

Since \(-395/432\) does not match any of the provided response options, it appears there may be a misunderstanding or a misrepresentation of the initial options. Based on calculation:

**The precise answer is** \(-\frac{395}{432}\) or approximately \(-0.914\).

If you have further context or any correct answers available in decimal form, please provide them! However, based on what you provided, there is no direct match with the options stated.