MHB Simplify a fractional expression

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The discussion centers on simplifying a fractional expression in algebra II. The initial inquiry seeks assistance in simplifying the expression, which is identified as a symbolic expression rather than a question. A suggested simplification is presented, indicating that $\frac{n}{p} - 1$ can be rewritten as $\frac{n - p}{p}$. The conversation then prompts further exploration of simplifying the denominator. Overall, the focus remains on algebraic simplification techniques.
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Please help with this algebra II question. It needs to be simplified. Thank you.
 

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Hello and welcome,

This is not a question, but rather a symbolic expression.

Would you like the expression simplified? One way is to note that $\frac{n}{p} - 1 = \frac{n - p}{p}$. How can you now simplify the denominator further?
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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