Give four rational numbers equivalent to:
`(4)/(9)`

Answer

To find four rational numbers equivalent to \( \frac{4}{9} \), we can multiply both the numerator and the denominator by the same non-zero integer. Here’s how we can do it step by step:

### Step-by-Step Solution:

1. **Start with the original fraction**:
\[ \frac{4}{9} \]

2. **Multiply by 2**:
\[ \frac{4 \times 2}{9 \times 2} = \frac{8}{18} \]

3. **Multiply by 3**:
\[ \frac{4 \times 3}{9 \times 3} = \frac{12}{27} \]

4. **Multiply by 4**:
\[ \frac{4 \times 4}{9 \times 4} = \frac{16}{36} \]

5. **Multiply by 5**:
\[ \frac{4 \times 5}{9 \times 5} = \frac{20}{45} \]

### Summary of Equivalent Rational Numbers:
The four rational numbers equivalent to \( \frac{4}{9} \) are:
- \( \frac{8}{18} \)
- \( \frac{12}{27} \)
- \( \frac{16}{36} \)
- \( \frac{20}{45} \)