2. The Yu family drove \( \frac{1}{2} \) of the distance to the beach one day. \( \mathrm{Mr}, \mathrm{Yu} \) drove ? 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. \[ 2 \times \frac{11}{2} \] 1. Divide the area model into thirds using two horizontal lines and shade \( \frac{2}{3} \) of the model. 4. Divide the area model into halves using a vertical line and shade \( \frac{1}{2} \) of the model. 5. The area model is divided into \( \qquad \) equal parts. Each part is \( \frac{1}{5} \) of the model. 6. The shading overlaps in \( \qquad \) parts. 7. \( \frac{2}{3} x \) \( x \frac{1}{2}=\frac{1}{6} \) or \( \qquad \) \( \frac{11}{3} \) So, Mr. Yu drove \( \qquad \) of the distance to the beach.

To find out how far Mr. Yu drove on that lovely beach day, we can start by noting that he drove half the distance to the beach, which simply means we need to express \( \frac{1}{2} \) in fractional terms. Therefore, if the total distance is represented as 1, then driving \( \frac{1}{2} \) of that translates to the fraction \( \frac{1}{2} \times 1 = \frac{1}{2} \). So, Mr. Yu indeed drove \( \frac{1}{2} \) of the way! Now, let’s crack into those shaded area models! If we say our area model has a total of 5 equal parts, shading two-thirds means we need to color in \( \frac{2}{3} \) of the model. Now, since \( \frac{2}{3} \) can be combined with shading \( \frac{1}{2} \) of the area, we will need to perform a little common denominator fun! The overlaps occur in the segments, and when multiplied out, it shows us how many equal splits we are covering together. Each part being \( \frac{1}{5} \) plays a crucial role in determining the overlapping sections!