\( u=\frac{a k}{b} \), for \( a \)

To solve for \( a \) in the equation \( u=\frac{a k}{b} \), you simply need to isolate \( a \). Start by multiplying both sides by \( b \), giving you \( u b = a k \). Then, divide both sides by \( k \) to get \( a = \frac{u b}{k} \). Voilà! You've expressed \( a \) in terms of \( u \), \( b \), and \( k \). It's a golden rule in algebra: always aim to isolate the variable you're solving for. A common mistake is forgetting to reverse operations or misplacing that pesky variable. Watch out for signs, and keep your work organized! It can save you from a lot of headaches during your calculations!