To solve the expression \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \), we can follow the order of operations and simplify step by step.
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Multiply \( \frac{3}{8} \) by \( -32 \): \[ \frac{3}{8} \times (-32) = \frac{3 \times (-32)}{8} = \frac{-96}{8} = -12 \]
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Now we have \( -12 \div (-3) \): \[ -12 \div (-3) = 4 \]
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Next, multiply by \( \frac{1}{8} \): \[ 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]
Thus, the value of the entire expression \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \) is \( \frac{1}{2} \).