Solve the following. `4/3 :- 1/6 xx 2 - 1 = ?`

Options

A. `-1`
B. 15
C. 8
D. `-2`

Answer

To solve the equation \( \frac{4}{3} : \frac{1}{6} \times 2 - 1 = ? \), we will follow the order of operations step by step.

### Step 1: Rewrite the Expression
We start with the expression:
\[ \frac{4}{3} : \frac{1}{6} \times 2 - 1 \]

### Step 2: Convert Division to Multiplication
The division \( \frac{4}{3} : \frac{1}{6} \) can be rewritten as multiplication by the reciprocal:
\[ \frac{4}{3} \times 6 \]

### Step 3: Calculate \( \frac{4}{3} \times 6 \)
Now we perform the multiplication:
\[ \frac{4}{3} \times 6 = \frac{4 \times 6}{3} = \frac{24}{3} = 8 \]

### Step 4: Substitute Back into the Expression
Now we substitute this back into the expression:
\[ 8 \times 2 - 1 \]

### Step 5: Calculate \( 8 \times 2 \)
Now we perform the multiplication:
\[ 8 \times 2 = 16 \]

### Step 6: Subtract 1
Finally, we subtract 1 from 16:
\[ 16 - 1 = 15 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{15} \]

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