Question

How many groups of 2/6 are in 5/6 ?
Draw a Visual Representation

Answer 1

To find out how many groups of \( \frac{2}{6} \) are in \( \frac{5}{6} \), we can divide \( \frac{5}{6} \) by \( \frac{2}{6} \).

### Step 1: Perform the Division

To divide fractions, we multiply by the reciprocal:

\[
\frac{5}{6} \div \frac{2}{6} = \frac{5}{6} \times \frac{6}{2}
\]

### Step 2: Simplify

When we multiply:

\[
\frac{5 \times 6}{6 \times 2} = \frac{30}{12}
\]

Now we can simplify \( \frac{30}{12} \):

\[
\frac{30 \div 6}{12 \div 6} = \frac{5}{2} = 2.5
\]

### Conclusion

There are \( 2.5 \) groups of \( \frac{2}{6} \) in \( \frac{5}{6} \).

### Visual Representation

To visually represent this, we can draw a fraction bar for \( \frac{5}{6} \) and then show how \( \frac{2}{6} \) fits into it.

1. Draw a rectangle divided into 6 equal parts (to represent \( \frac{6}{6} \)).
2. Shade 5 out of the 6 sections to represent \( \frac{5}{6} \).
3. Each section represents \( \frac{1}{6} \), so we can create groups of \( \frac{2}{6} \) by shading two sections at a time.

Here’s a simple illustration:

```
+---------+---------+---------+---------+---------+---------+
| 1 | 2 | 3 | 4 | 5 | 6 |
| (1/6) | (1/6) | (1/6) | (1/6) | (1/6) | (1/6) |
+---------+---------+---------+---------+---------+---------+
| ████ | ████ | | | | | (5/6)
(1) (2)
```
- The first two segments represent the first \( \frac{2}{6} \).
- The next segments would represent another \( \frac{2}{6} \).
- This shows there are 2 full groups of \( \frac{2}{6} \), and one half group remaining (totaling \( 2.5 \) groups of \( \frac{2}{6} \)).