B 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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Thread 'Erroneously  finding discrepancy in transpose rule'
Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

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