The value of `-1+1/4 div 1/2 times 2 +5` is ::

Options

A. `-7//2`
B. 2
C. `17//4`
D. 5

Answer

To solve the expression \(-1 + \frac{1}{4} \div \frac{1}{2} \times 2 + 5\), we will follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ -1 + \frac{1}{4} \div \frac{1}{2} \times 2 + 5 \]

2. **Perform the division**:
\[ \frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times \frac{2}{1} = \frac{2}{4} = \frac{1}{2} \]
Now the expression simplifies to:
\[ -1 + \frac{1}{2} \times 2 + 5 \]

3. **Perform the multiplication**:
\[ \frac{1}{2} \times 2 = 1 \]
Now the expression simplifies to:
\[ -1 + 1 + 5 \]

4. **Perform the addition**:
\[ -1 + 1 = 0 \]
Now the expression simplifies to:
\[ 0 + 5 = 5 \]

5. **Final result**:
The value of the expression is:
\[ 5 \]

### Final Answer:
The value of \(-1 + \frac{1}{4} \div \frac{1}{2} \times 2 + 5\) is \(5\).