(2) \( 96=3 x \frac{5}{4} \)

To solve for \( x \) in the equation \( 96 = 3 x \frac{5}{4} \), start by simplifying the right side. First, you can rewrite it as \( 96 = \frac{15x}{4} \). To eliminate the fraction, multiply both sides of the equation by 4, giving you \( 384 = 15x \). Finally, divide by 15 to isolate \( x \), leading to \( x = \frac{384}{15} \), which simplifies to \( x = 25.6 \). Now you can practically apply this! This kind of equation is commonly used in fields like carpentry or cooking, where you might need to calculate proportions or sceneries in recipes. For instance, if a recipe's serving size needs adjustment based on how many people you're feeding, knowing how to manipulate these equations can save you from making too much or too little food! It’s easy to make a common mistake with fractions, so watch out! A frequent slip is ignoring the order of operations or forgetting to distribute properly. Always double-check your steps, especially when dealing with multiplication and fractions— a tiny mistake can throw off your entire result!