Evaluate :
`(-7)/(11)-:((-3)/(44))`

Options

A. `28/5`
B. `25/3`
C. `28/3`
D. `38/3`

Answer

To evaluate the expression \((-7)/(11) \div (-3)/(44)\), we will follow these steps:

### Step-by-Step Solution:

1. **Write the Division as Multiplication**:
The division of fractions can be rewritten as multiplication by the reciprocal. Therefore, we can rewrite the expression:
\[ \frac{-7}{11} \div \frac{-3}{44} = \frac{-7}{11} \times \frac{44}{-3} \]

2. **Simplify the Expression**:
Now we can multiply the fractions. Before multiplying, we can simplify the expression by canceling out common factors. The number 44 can be divided by 11:
\[ \frac{-7 \times 44}{11 \times -3} = \frac{-7 \times (44 \div 11)}{-3} = \frac{-7 \times 4}{-3} \]

3. **Cancel the Negative Signs**:
The negative signs in the numerator and denominator will cancel each other out:
\[ \frac{7 \times 4}{3} \]

4. **Multiply the Numerator**:
Now, we can multiply the numbers in the numerator:
\[ 7 \times 4 = 28 \]

5. **Write the Final Result**:
Therefore, the result of the expression is:
\[ \frac{28}{3} \]

### Final Answer:
\[ \frac{28}{3} \]

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