`43/5=?`

Options

A. `(17)/(5)`
B. `(23)/(5)`
C. `(17)/(3)`
D. none of these

Answer

To solve the question \( \frac{43}{5} \), we will convert the improper fraction into a mixed number.

### Step-by-step Solution:

1. **Divide the numerator by the denominator**:
We will divide 43 by 5.
\[ 43 \div 5 = 8 \quad \text{(since 5 goes into 43 eight times)} \]

2. **Find the remainder**:
Now, we need to find the remainder of this division.
\[ 5 \times 8 = 40 \]
\[ 43 - 40 = 3 \]
So, the remainder is 3.

3. **Write the mixed number**:
Now we can express \( \frac{43}{5} \) as a mixed number.
The whole number part is 8, and the fractional part is \( \frac{3}{5} \).
Therefore,
\[ \frac{43}{5} = 8 \frac{3}{5} \]

### Final Answer:
\[ \frac{43}{5} = 8 \frac{3}{5} \]