1. To visually model the multiplication problem $\frac{1}{5} \times \frac{3}{4}$ using a rectangular area model, how many rows and columns should the rectangle be divided into?
2. An area model is used to multiply two fractions. It is divided into 3 rows and 5 columns. Shading 2 rows and 4 columns shows an overlapping area. What is the product? ___
3. Use the area model method to find the product of $\frac{1}{2}$ and $\frac{4}{5}$. The resulting fraction in simplest form is ___.
4. When using a rectangular area model to find $\frac{2}{3} \times \frac{1}{5}$, what does the overlapping shaded region represent?
5. A garden is modeled by a rectangle. $\frac{3}{4}$ of the garden is planted with vegetables. Of the vegetable section, $\frac{1}{3}$ is planted with tomatoes. Tomatoes cover what fraction of the total garden? ___
6. Use an area model to find the product of $\frac{1}{3} \times \frac{2}{5}$. The resulting fraction is ___.
7. To create an area model for $\frac{2}{5} \times \frac{3}{4}$, how many total equal parts should the rectangle be divided into?
8. In an area model representing $\frac{3}{5} \times \frac{1}{6}$, the overlapping shaded region would contain ___ small squares.
9. An area model is divided into 3 rows and 7 columns. Two rows are shaded, and four columns are shaded. What multiplication problem does this model represent?
10. What is the product of $\frac{2}{3} \times \frac{3}{4}$? Give your answer as a simplified fraction. ___