To solve the problem of shading parts of the figure to represent the fractions $\frac{7}{12}$ and $\frac{1}{4}$, let me analyze the grid in your uploaded image:

Observations:

1. The grid is composed of 12 equal rectangles: 4 rows × 3 columns.
2. Each rectangle represents $\frac{1}{12}$ of the whole figure.

Solution:

1. Shade $\frac{7}{12}$:
   • To represent $\frac{7}{12}$, we need to shade 7 rectangles out of the total 12.
2. Shade $\frac{1}{4}$:
   • Since $\frac{1}{4} = \frac{3}{12}$ in terms of twelfths, shade 3 rectangles separately.

Would you like me to create a visual example, or do you want additional clarification? Let me know!

Follow-up Questions:

1. How do fractions relate to dividing geometric shapes into equal parts?
2. Can $\frac{7}{12}$ and $\frac{1}{4}$ overlap when shading?
3. How do you simplify fractions like $\frac{3}{12}$ to $\frac{1}{4}$?
4. How can this concept apply to real-life scenarios like cutting a pizza or dividing a budget?
5. What is the total of $\frac{7}{12} + \frac{1}{4}$ in simplest terms?

Tip: Always break fractions into a common denominator to make calculations easier!