On dividing 7 by `2/5` , the result is:

Options

A. `14/2`
B. `35/4`
C. `14/5`
D. `35/2`

Answer

To solve the problem of dividing 7 by \( \frac{2}{5} \), we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite the Division as Multiplication**:
When dividing by a fraction, we can multiply by its reciprocal. The reciprocal of \( \frac{2}{5} \) is \( \frac{5}{2} \). Therefore, we can rewrite the expression:
\[ 7 \div \frac{2}{5} = 7 \times \frac{5}{2} \]

2. **Convert 7 to a Fraction**:
To make the multiplication easier, we can express 7 as a fraction:
\[ 7 = \frac{7}{1} \]
So now we have:
\[ \frac{7}{1} \times \frac{5}{2} \]

3. **Multiply the Numerators and the Denominators**:
Now we multiply the numerators together and the denominators together:
\[ \text{Numerator: } 7 \times 5 = 35 \]
\[ \text{Denominator: } 1 \times 2 = 2 \]
Therefore, we have:
\[ \frac{35}{2} \]

4. **Final Result**:
The result of dividing 7 by \( \frac{2}{5} \) is:
\[ \frac{35}{2} \]

### Final Answer:
The result of dividing 7 by \( \frac{2}{5} \) is \( \frac{35}{2} \).

---