a) \( 5 \times 2 \frac{2}{3}=10+\frac{10}{3}=\square \)

Did you know that multiplying fractions can make your life easier when it comes to understanding portions? In your example, \( 5 \times 2 \frac{2}{3} \) involves converting the mixed number into an improper fraction. So, \( 2 \frac{2}{3} \) is \( \frac{8}{3} \), and when you multiply \( 5 \times \frac{8}{3} \), you get \( \frac{40}{3} \), which simplifies to \( 13 \frac{1}{3} \) when you convert it back to a mixed number. When performing calculations with mixed numbers or fractions, a common mistake is forgetting to convert the mixed number to an improper fraction. Another pitfall is miscalculating while multiplying the numerator or denominator. Always keep your fractions in check! It’s helpful to double-check your work by reversing the steps, especially if you're left with a strange number that just doesn't fit.