`(0.12 div 0.15)/(2) = ?`

Options

A. 0.04
B. 0.004
C. 0.4
D. 4

Answer

To solve the problem `(0.12 div 0.15)/(2)`, we can follow these steps:

### Step 1: Convert the division of decimals into fractions
We start with the expression \(0.12 \div 0.15\). To simplify this, we can convert the decimals into fractions:
- \(0.12 = \frac{12}{100}\)
- \(0.15 = \frac{15}{100}\)

### Step 2: Rewrite the division as multiplication
Now, we can rewrite the division of fractions:
\[ 0.12 \div 0.15 = \frac{12}{100} \div \frac{15}{100} = \frac{12}{100} \times \frac{100}{15} \]

### Step 3: Simplify the expression
When we multiply, the \(100\) in the numerator and denominator cancels out:
\[ \frac{12}{100} \times \frac{100}{15} = \frac{12}{15} \]

### Step 4: Reduce the fraction
Next, we can simplify \(\frac{12}{15}\):
- Both \(12\) and \(15\) can be divided by \(3\):
\[ \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \]

### Step 5: Substitute back into the original expression
Now we substitute \(\frac{4}{5}\) back into the original expression:
\[ \frac{0.12 \div 0.15}{2} = \frac{4/5}{2} \]

### Step 6: Rewrite the division by 2 as multiplication by \(\frac{1}{2}\)
This can be rewritten as:
\[ \frac{4}{5} \div 2 = \frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10} \]

### Step 7: Simplify the final fraction
Finally, we can simplify \(\frac{4}{10}\):
- Both \(4\) and \(10\) can be divided by \(2\):
\[ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} \]

### Step 8: Convert to decimal
To express \(\frac{2}{5}\) as a decimal, we can divide \(2\) by \(5\):
\[ 2 \div 5 = 0.4 \]

### Final Answer
Thus, the final answer is:
\[ \frac{(0.12 \div 0.15)}{2} = 0.4 \]