To understand the equation you provided, let's analyze it step by step. The equation is:
\[ \frac{x}{8} = \frac{3(x + 4)}{2} \]
This equation can be interpreted as follows:
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The left side shows a product because \( \frac{x}{8} \) can be viewed as \( x \) divided by \( 8 \), which is equivalent to \( x \times \frac{1}{8} \). Here, \( \frac{1}{8} \) represents the multiplicative factor.
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The right side \( \frac{3(x + 4)}{2} \) can also be interpreted in terms of its components. First, the expression \( (x + 4) \) is enclosed in parentheses, indicating it is to be evaluated entirely before multiplying by \( 3 \) and then being divided by \( 2 \). Therefore, it represents the product of \( 3 \) and \( (x + 4) \) reduced by \( 2 \).
If we focus on the expression that explicitly represents a product, it would be \( 3(x + 4) \) on the right side of the equation.
In summary, while both sides of the equation involve fractional representation, the portions that explicitly represent products are:
- Left side: \( x \times \frac{1}{8} \)
- Right side: \( 3(x + 4) \)
So the expression representing a product in the provided equation is \( 3(x + 4) \).