Question

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

(9)÷(54)×(79)×(−5)÷(72)

(1 point)
Responses

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

8
8

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

−8

Answer 1

To solve the expression \( (9) ÷ (54) × (79) × (−5) ÷ (72) \), we can follow the order of operations and simplify step by step.

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

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

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

4. **Divide by \( 72 \)**:
To divide by 72, we multiply by the reciprocal:
\[
\frac{-395}{6} ÷ 72 = \frac{-395}{6} × \frac{1}{72} = \frac{-395}{432}
\]

Next, we simplify \( \frac{-395}{432} \). Since both numbers don't have any common factors, we leave the fraction as it is:

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

Now let's express it in a decimal form for clarity.

We can perform the division:
\[
-395 ÷ 432 ≈ -0.9148
\]

However, it appears that the expected responses are more likely to be in fraction form or rounded. So, we can leave it in the fraction format.

Given the options:
- \( -12258 \)
- negative \( \frac{1225}{8} \)
- \( 8 \)
- \( 1,2258 \)
- \( -8 \)

None of these options exactly match \( \frac{-395}{432} \).

If we compare the absolute values:
- \( \frac{395}{432} \) is less than 1.
- The other options either represent integers or have larger absolute values.

Thus, in conclusion, none of the provided answers are correct for the calculated value of \( (9)÷(54)×(79)×(−5)÷(72) \).