2. The Yu family drove \( \frac{1}{2} \) of the distance to the beach one day. Mr. Yu drove \( \frac{2}{3} \) of the way. What fraction of the distance to the beach did Mr. Yu drive that day? Write an expression that could be used to find the answer.

To find the fraction of the distance to the beach that Mr. Yu drove, we can express it as: \(\frac{2}{3} \times \frac{1}{2}\). This calculation effectively combines the two fractions, where Mr. Yu drove two-thirds of the half distance already traveled by the Yu family. To solve this, simply multiply the numerators and the denominators: \( \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}\). So, Mr. Yu drove \(\frac{1}{3}\) of the total distance to the beach! Now that’s some math that turns into fun in the sun! And remember, fractions can sometimes feel tricky, but thinking of them as parts of a whole can really help. The key mistake is forgetting to multiply the fractions correctly or overlooking simplifying them afterward—always check your work!