`1/2+1/2div1/2=?`

Options

A. 2
B. (1/2)
C. (3/2)
D. (3/4)

Answer

To solve the expression \( \frac{1}{2} + \frac{1}{2} \div \frac{1}{2} \), we will follow the order of operations (BODMAS/BIDMAS rules: Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-step Solution:

1. **Identify the expression**:
\[ \frac{1}{2} + \frac{1}{2} \div \frac{1}{2} \]

2. **Perform the division first**:
\[ \frac{1}{2} \div \frac{1}{2} \]
To divide fractions, we multiply by the reciprocal:
\[ \frac{1}{2} \div \frac{1}{2} = \frac{1}{2} \times \frac{2}{1} = 1 \]

3. **Substitute back into the expression**:
Now the expression becomes:
\[ \frac{1}{2} + 1 \]

4. **Convert 1 to a fraction**:
We can write 1 as \( \frac{2}{2} \) to have a common denominator:
\[ \frac{1}{2} + \frac{2}{2} \]

5. **Add the fractions**:
Now, we can add the fractions:
\[ \frac{1 + 2}{2} = \frac{3}{2} \]

6. **Final answer**:
Thus, the final answer is:
\[ \frac{3}{2} \]

### Summary of Steps:
1. Identify the expression.
2. Perform the division first.
3. Substitute the result back into the expression.
4. Convert whole numbers to fractions for easy addition.
5. Add the fractions.
6. State the final answer.