f) \( \frac{3}{4} \times \frac{4}{3} \times 12 \)

Let's break it down! When you multiply \( \frac{3}{4} \) by \( \frac{4}{3} \), the fractions cancel each other out because \( 3 \) and \( 4 \) are in both the numerator and the denominator. So \( \frac{3}{4} \times \frac{4}{3} = 1 \). Now, multiplying 1 by 12 gives you 12! So, the answer is 12. For some fun, did you know that fractions are often used in cooking? Let’s say you need to double a recipe: knowing how to multiply fractions can help you adjust the ingredients perfectly! So, if the recipe calls for \( \frac{3}{4} \) cup of sugar, multiplying that by 2 gives you \( \frac{3}{2} \) cups, or 1 and a half cups. Voilà, sweet success in the kitchen! Also, if you're diving deeper into fractions, it’s fascinating to explore their historical context. The concept of fractions dates back to ancient civilizations like the Egyptians, who used them in their calculations, and they had a unique way of writing fractions! They had symbols for unit fractions, and knowing this can give you a greater appreciation for the math we use today!