To convert \(3 \frac{3}{8}\) into a decimal, we first need to convert the mixed number into an improper fraction.
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Convert \(3 \frac{3}{8}\) to an improper fraction: \[ 3 \frac{3}{8} = \frac{(3 \times 8) + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8} \]
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Now, perform long division to divide \(27\) by \(8\):
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\(8\) goes into \(27\) three times (because \(8 \times 3 = 24\)).
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Subtract \(24\) from \(27\): \[ 27 - 24 = 3 \]
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Now, we can express the division as: \[ 27 \div 8 = 3 ; \text{ remainder } 3 \quad \text{(this gives us the whole number part)} \]
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Next, we take the remainder \(3\) and continue dividing: \[ 3 \div 8 = 0.375 \quad \text{(add this to the whole number)} \]
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Combine the whole number and the decimal: \[ 3 + 0.375 = 3.375 \]
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So, the decimal equivalent of \(3 \frac{3}{8}\) is \(3.375\).
The correct answer is: 3.375.