If `(2a)/b =1/2`, what is the value of `b/a` ?

Options

A. `1/8`
B. `1/4`
C. `2`
D. 4

Explanation

To solve the equation \(\frac{2a}{b} = \frac{1}{2}\) and find the value of \(\frac{b}{a}\), we can follow these steps:

### Step 1: Start with the given equation
We have:
\[ \frac{2a}{b} = \frac{1}{2} \]

### Step 2: Cross-multiply to eliminate the fraction
Cross-multiplying gives us:
\[ 2a \cdot 2 = 1 \cdot b \]
This simplifies to:
\[ 4a = b \]

### Step 3: Rearrange to find \(\frac{b}{a}\)
Now, we want to find \(\frac{b}{a}\). We can express this as:
\[ \frac{b}{a} = \frac{4a}{a} \]

### Step 4: Simplify the expression
Since \(a\) in the numerator and denominator cancels out (assuming \(a \neq 0\)), we have:
\[ \frac{b}{a} = 4 \]

### Conclusion
Thus, the value of \(\frac{b}{a}\) is:
\[ \boxed{4} \]