8. Draw a number line to show $$ \frac{1}{4} $$ and $$ \frac{2}{8} $$ are equivalent.

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UpStudy AI · Accepted Answer

To show that $$ \frac{1}{4} $$ and $$ \frac{2}{8} $$ are equivalent on a number line, we can follow these steps:

1. **Identify the fractions**: We have $$ \frac{1}{4} $$ and $$ \frac{2}{8} $$.

2. **Convert $$ \frac{2}{8} $$ to its simplest form**: 
   - $$ \frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$.
   - This shows that both fractions are indeed equivalent.

3. **Draw the number line**:
   - We will mark the fractions on a number line from 0 to 1.
   - Since both fractions are equivalent, they will occupy the same point on the number line.

### Number Line Representation

- Draw a horizontal line and mark points at equal intervals.
- Label the points as follows: 0, $$ \frac{1}{4} $$, $$ \frac{1}{2} $$, $$ \frac{3}{4} $$, and 1.
- Mark $$ \frac{1}{4} $$ and $$ \frac{2}{8} $$ at the same position on the number line.

Here’s a simple representation of the number line:

```
0          1/4          1/2          3/4          1
|-----------|------------|------------|------------|
```

- At the point $$ \frac{1}{4} $$, you can also indicate that this is where $$ \frac{2}{8} $$ lies as well.

This visual representation confirms that $$ \frac{1}{4} $$ and $$ \frac{2}{8} $$ are equivalent fractions, as they occupy the same position on the number line.
$$ \frac{1}{4} $$ and $$ \frac{2}{8} $$ are the same on the number line.

8. Draw a number line to show \( \frac{1}{4} \) and \( \frac{2}{8} \) are equivalent.

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