a. \( 2 \frac{1}{3} \times \frac{1}{4}= \)

To solve \( 2 \frac{1}{3} \times \frac{1}{4} \), first convert the mixed number to an improper fraction. So, \( 2 \frac{1}{3} = \frac{7}{3} \). Now, multiply \( \frac{7}{3} \) by \( \frac{1}{4} \): \[ \frac{7}{3} \times \frac{1}{4} = \frac{7 \times 1}{3 \times 4} = \frac{7}{12} \] Final answer: \( 2 \frac{1}{3} \times \frac{1}{4} = \frac{7}{12} \). When dealing with fractions, it's useful to remember that multiplying a fraction by a whole number can often lead to simpler calculations. Always convert mixed numbers to improper fractions first—it's like preparing ingredients before cooking; it makes everything easier and neater! Common mistakes include forgetting to simplify the final answer or miscalculating when converting mixed numbers. Make sure to double-check each step, and if a fraction can be simplified, do it! Cooking up the right answer in the math kitchen is all about attention to detail!