High School How do you multiply fractions again? My brain just froze 😅

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To multiply fractions, multiply the numerators together and the denominators together, resulting in the formula a/b * c/d = (a*c)/(b*d). The process is straightforward and can be easily remembered. Additionally, the discussion touches on how to divide fractions and perform addition and subtraction with them, using similar principles. These operations involve adjusting the fractions accordingly to maintain proper mathematical structure. Understanding these basic operations is essential for solving fraction-related problems effectively.
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I was helping my younger sibling with homework and totally blanked—how exactly do you multiply fractions again? I feel like I knew this once upon a time but it's just… gone. 😭
 
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##\dfrac{a}{b}\cdot \dfrac{c}{d}=\dfrac{a\cdot c}{b\cdot d}.##
 
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For the record:

##\dfrac{a}{b} \, : \,\dfrac{c}{d}=\dfrac{a\cdot d}{b\cdot c}##

##\dfrac{a}{b}+ \dfrac{c}{d}=\dfrac{a\cdot d+b\cdot c}{b\cdot d}##

##\dfrac{a}{b}- \dfrac{c}{d}=\dfrac{a\cdot d-b\cdot c}{b\cdot d}##
 
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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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