A rational number equivalent to `(7)/(19)` is

Options

A. `17/119`
B. `21/38`
C. `14/57`
D. `21/57`

Answer

To find a rational number equivalent to \( \frac{7}{19} \), we can multiply both the numerator and the denominator by the same non-zero integer. This will give us an equivalent fraction.

### Step-by-Step Solution:

1. **Choose a multiplier**: Let's choose the integer 3 as our multiplier.

2. **Multiply the numerator and the denominator**:
\[ \text{Numerator: } 7 \times 3 = 21 \]
\[ \text{Denominator: } 19 \times 3 = 57 \]

3. **Form the new fraction**:
\[ \frac{7}{19} = \frac{21}{57} \]

Thus, \( \frac{21}{57} \) is a rational number equivalent to \( \frac{7}{19} \).