MHB Rational Expressions: Subtract 1/2x-7/x-3

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The discussion focuses on subtracting the rational expressions 1/(2x) and 7/(x-3). Clarification is sought on whether the expression is correctly interpreted as 1/(2x) - 7/(x-3). Participants are encouraged to share their attempts or initial thoughts on solving the problem. The conversation emphasizes the importance of understanding the steps involved in working with rational expressions. Engaging in this problem can enhance skills in algebraic manipulation and simplification.
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1/2x-7/x-3 Subtract
 
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Do you mean:

$$\frac{1}{2x}-\frac{7}{x-3}$$?

If so, can you show what you've tried so far or give your thoughts on how you should begin?
 

Thread 'Area of Overlapping Squares'

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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