MHB Solve Complex Math Problem: Helping My Middle Schooler

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To simplify the expression (630*137+2) / (316+315*136), first recognize that the denominator can be rewritten as 1 + 315*137. This allows for easier manipulation of the equation. The numerator can also be simplified by factoring out common terms. Ultimately, this leads to a more straightforward calculation. Understanding these simplifications can greatly assist in solving complex math problems.
giperbolic
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Helping my middle schooler and got hung up with this one.

Simplify and solve:

(630*137+2) / (316+315*136)

I don't see it. Extract 2 from the numerator? Then what?

Any guidance is appreciated.
 
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got help!

316+315*136=1+315*137
 
giperbolic said:
got help!

316+315*136=1+315*137

Yes, that's correct, and leads to a quick simplification. :D
 

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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