To solve the expression \((-4) \times \left(\frac{7}{5}\right) \times \left(-\frac{3}{4}\right) \div \left(\frac{7}{15}\right)\), we will follow the order of operations:
- First, we need to rewrite the division as multiplication by the reciprocal:
\[ (-4) \times \left(\frac{7}{5}\right) \times \left(-\frac{3}{4}\right) \times \left(\frac{15}{7}\right) \]
- Now we can combine the terms:
\[ (-4) \times (-3) \times \left(\frac{7}{5}\right) \times \left(\frac{15}{4}\right) \]
- Multiply the negative numbers:
\[ (-4) \times (-3) = 12 \]
- Now we have:
\[ 12 \times \left(\frac{7}{5}\right) \times \left(\frac{15}{4}\right) \]
- Multiply \(12\) by \(\frac{7}{5}\):
\[ 12 \times \frac{7}{5} = \frac{84}{5} \]
- Now multiply that result by \(\frac{15}{4}\):
\[ \frac{84}{5} \times \frac{15}{4} = \frac{84 \times 15}{5 \times 4} \]
- Calculate the numerator and denominator:
\[ 84 \times 15 = 1260 \quad \text{and} \quad 5 \times 4 = 20 \]
So we have:
\[ \frac{1260}{20} \]
- Now we can simplify \(\frac{1260}{20}\):
\[ \frac{1260 \div 20}{20 \div 20} = \frac{63}{1} = 63 \]
Thus, the final answer to the expression is:
\[ 63 \]
None of the provided responses are correct based on the computed answer.
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