To solve the expression \( (9) ÷ (54) × (79) × (−5) ÷ (72) \), we can follow the order of operations and simplify step by step.
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Calculate \( 9 ÷ 54 \): \[ 9 ÷ 54 = \frac{9}{54} = \frac{1}{6} \]
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Multiply by \( 79 \): \[ \frac{1}{6} × 79 = \frac{79}{6} \]
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Multiply by \( -5 \): \[ \frac{79}{6} × (-5) = \frac{79 × (-5)}{6} = \frac{-395}{6} \]
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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 \( (9)÷(54)×(79)×(−5)÷(72) \).