Make a model to solve \( \frac{2}{3} \times \frac{5}{7} \)

To solve \( \frac{2}{3} \times \frac{5}{7} \), visualize the fractions as parts of a whole. Imagine a pie cut into 3 equal parts (like the denominator of the first fraction), and take 2 of those parts. Then, think of another pie cut into 7 equal parts (from the second fraction), and take 5 of those parts. Now, to find the product, multiply the numerators together (2 and 5) to get 10, and the denominators together (3 and 7) to get 21. So, \( \frac{2}{3} \times \frac{5}{7} = \frac{10}{21} \)! To visualize this further, you can draw both fractions as rectangles divided into grids. Shade in the appropriate sections according to the fractions being multiplied. This not only reinforces the idea of multiplying the fractions but makes it more dynamic and fun. Each shaded area represents how both parts interact together, making it easier to grasp the concept!