To solve the expression \((−4)×(75)×(−34)÷(715)\), we can follow the order of operations.
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Solve the multiplication first: \[ (−4) \times (75) \times (−34) \]
- First, multiply \((−4) \times (75)\): \[ −4 \times 75 = −300 \]
- Now multiply \(−300 \times (−34)\): \[ −300 \times (−34) = 10200 \] So, \((−4) \times (75) \times (−34) = 10200\).
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Now we divide this result by \(715\): \[ 10200 \div 715 \] Performing this division gives us: \[ 10200 \div 715 \approx 14.25 \] Since \(10200\) divided by \(715\) can be simplified: \[ 10200 \div 715 = \frac{10200}{715} \] This fraction can be simplified and calculated further as needed.
From these calculations, we find that the exact value is approximately \(14.25\) or \(\frac{10200}{715}\).
Among the given options, the one that matches is:
Start Fraction 147 over 75 End Fraction (which simplifies to the same answer).
Thus, the correct response is:
\(\frac{147}{75}\) which means option Start Fraction 147 over 75 End Fraction is the correct choice.