MHB Can you help me solve (3-2/3)(1-5/7)?

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To solve the expression (3-2/3)(1-5/7), first simplify each term: 3-2/3 equals 7/3 and 1-5/7 equals 2/7. Then, multiply the simplified fractions: (7/3)(2/7) equals 14/21. This fraction can be further simplified to 2/3. Understanding these steps is crucial for mastering similar problems.
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Desperate help is needed; can someone help me calculate (3-2/3)(1-5/7)?
I've been trying and I can't make any sense of it.
I have an exam tomorrow and I'm panicking.
Help?
 
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Hi Ari and welcome to MHB! :D

I've retitled your thread to give a brief description of the problem.

$$\left(3-\frac23\right)\left(1-\frac57\right)=\left(\frac93-\frac23\right)\left(\frac77-\frac57\right)$$

Do you understand the above? If so, can you continue?
 

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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