1. **Stating the problem:** We have a large square divided into four equal smaller squares arranged in a 2x2 grid. The bottom-right smaller square is further divided into three parts: two right triangles and one smaller square, with the smaller square shaded. We need to find the fraction of the entire large square that is shaded. 2. **Understanding the structure:** The large square is divided into 4 equal smaller squares, so each smaller square represents $\frac{1}{4}$ of the large square. 3. **Focus on the bottom-right smaller square:** This smaller square is subdivided into three parts: two right triangles and one smaller square. The shaded part is the smaller square inside this bottom-right square. 4. **Determining the fraction of the shaded smaller square inside the bottom-right square:** Since the bottom-right square is divided into three parts, and the shaded part is one of these parts, we need to find the fraction of the bottom-right square that the shaded smaller square occupies. 5. **Assuming the smaller square inside the bottom-right square is exactly one quarter of that square (since it is a square inside a square divided by two right triangles), the shaded area is $\frac{1}{4}$ of the bottom-right square.** 6. **Calculate the fraction of the entire large square that is shaded:** Since the bottom-right square is $\frac{1}{4}$ of the large square, and the shaded part is $\frac{1}{4}$ of the bottom-right square, the shaded fraction of the large square is: $$\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$$ 7. **Final answer:** The fraction of the entire large square that is shaded is $\frac{1}{16}$.