To find out how many groups of \( \frac{1}{4} \) are in \( \frac{3}{4} \), we can divide \( \frac{3}{4} \) by \( \frac{1}{4} \):
\[ \frac{3}{4} \div \frac{1}{4} = \frac{3}{4} \times \frac{4}{1} = 3 \]
Thus, there are 3 groups of \( \frac{1}{4} \) in \( \frac{3}{4} \).
Visual Representation:
To visualize this, imagine a whole divided into four equal parts (quarters):
|---|---|---|---|
| 1 | 2 | 3 | 4 |
|---|---|---|---|
Now, if we shade \( \frac{3}{4} \), we would shade three of these parts:
|---|---|---|---|
| X | X | X | |
|---|---|---|---|
Each shaded part represents \( \frac{1}{4} \). Since we can see there are three shaded sections, we confirm that:
\[ \frac{3}{4} = \frac{1}{4} + \frac{1}{4} + \frac{1}{4} \]
Thus, we have visualized that there are indeed 3 groups of \( \frac{1}{4} \) in \( \frac{3}{4} \).