The problem is to evaluate the expression $[(-3) \times (+8)] \div [(+15) \div (-4)]$.

ArithmeticArithmetic OperationsOrder of OperationsFractionsDecimal Conversion
2025/5/12

1. Problem Description

The problem is to evaluate the expression [(3)×(+8)]÷[(+15)÷(4)][(-3) \times (+8)] \div [(+15) \div (-4)].

2. Solution Steps

First, we evaluate the expression inside the first set of brackets:
(3)×(+8)=24(-3) \times (+8) = -24.
Next, we evaluate the expression inside the second set of brackets:
(+15)÷(4)=154(+15) \div (-4) = -\frac{15}{4}.
Finally, we divide the two results:
(24)÷(154)=24×(415)=24×415=9615(-24) \div (-\frac{15}{4}) = -24 \times (-\frac{4}{15}) = \frac{24 \times 4}{15} = \frac{96}{15}.
Simplify the fraction:
9615=32×35×3=325\frac{96}{15} = \frac{32 \times 3}{5 \times 3} = \frac{32}{5}.
As a decimal,
325=6.4\frac{32}{5} = 6.4

3. Final Answer

325\frac{32}{5} or 6.46.4

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