Express `(-3)/(5)` as a rational number with denominator `20`

Options

A. `(-12)/(20)`
B. `(-13)/(20)`
C. `(-14)/(20)`
D. `(-15)/(20)`

Answer

To express \(-\frac{3}{5}\) as a rational number with a denominator of \(20\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the original fraction**:
We start with the fraction \(-\frac{3}{5}\).

2. **Determine the multiplication factor**:
We want to change the denominator from \(5\) to \(20\). To find the multiplication factor, we divide the new denominator by the original denominator:
\[ \text{Multiplication factor} = \frac{20}{5} = 4 \]

3. **Multiply both the numerator and denominator by the multiplication factor**:
We multiply both the numerator and the denominator of \(-\frac{3}{5}\) by \(4\):
\[ -\frac{3}{5} \times \frac{4}{4} = \frac{-3 \times 4}{5 \times 4} = \frac{-12}{20} \]

4. **Write the final result**:
Thus, the expression of \(-\frac{3}{5}\) as a rational number with a denominator of \(20\) is:
\[ -\frac{12}{20} \]

### Final Answer:
\[ -\frac{12}{20} \]

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